diff --git a/osu.Game/Beatmaps/ControlPoints/ControlPoint.cs b/osu.Game/Beatmaps/ControlPoints/ControlPoint.cs
index 90c0ded38f..9ed476d97c 100644
--- a/osu.Game/Beatmaps/ControlPoints/ControlPoint.cs
+++ b/osu.Game/Beatmaps/ControlPoints/ControlPoint.cs
@@ -15,15 +15,14 @@ namespace osu.Game.Beatmaps.ControlPoints
         public int CompareTo(ControlPoint other) => Time.CompareTo(other.Time);
 
         /// <summary>
-        /// Whether this <see cref="ControlPoint"/> provides the same changes to gameplay as another <see cref="ControlPoint"/>.
+        /// Whether this <see cref="ControlPoint"/> provides the same parametric changes as another <see cref="ControlPoint"/>.
+        /// Basically an equality check without considering the <see cref="Time"/>.
         /// </summary>
         /// <param name="other">The <see cref="ControlPoint"/> to compare to.</param>
-        /// <returns>Whether this <see cref="ControlPoint"/> provides the same changes to gameplay as <paramref name="other"/>.</returns>
-        public virtual bool ChangeEquals(ControlPoint other) => !ReferenceEquals(null, other);
+        /// <returns>Whether this <see cref="ControlPoint"/> is equivalent to <paramref name="other"/>.</returns>
+        public virtual bool EquivalentTo(ControlPoint other) => true;
 
         public bool Equals(ControlPoint other)
-            => ChangeEquals(other)
-               && !ReferenceEquals(null, other)
-               && Time.Equals(other.Time);
+            => EquivalentTo(other) && Time.Equals(other?.Time);
     }
 }
diff --git a/osu.Game/Beatmaps/ControlPoints/DifficultyControlPoint.cs b/osu.Game/Beatmaps/ControlPoints/DifficultyControlPoint.cs
index f821ff11f4..526bddf51a 100644
--- a/osu.Game/Beatmaps/ControlPoints/DifficultyControlPoint.cs
+++ b/osu.Game/Beatmaps/ControlPoints/DifficultyControlPoint.cs
@@ -18,8 +18,8 @@ namespace osu.Game.Beatmaps.ControlPoints
 
         private double speedMultiplier = 1;
 
-        public override bool ChangeEquals(ControlPoint other)
-            => base.ChangeEquals(other)
+        public override bool EquivalentTo(ControlPoint other)
+            => base.EquivalentTo(other)
                && other is DifficultyControlPoint difficulty
                && SpeedMultiplier.Equals(difficulty.SpeedMultiplier);
     }
diff --git a/osu.Game/Beatmaps/ControlPoints/EffectControlPoint.cs b/osu.Game/Beatmaps/ControlPoints/EffectControlPoint.cs
index 0cbdf7fdf2..dd9d568133 100644
--- a/osu.Game/Beatmaps/ControlPoints/EffectControlPoint.cs
+++ b/osu.Game/Beatmaps/ControlPoints/EffectControlPoint.cs
@@ -15,8 +15,8 @@ namespace osu.Game.Beatmaps.ControlPoints
         /// </summary>
         public bool OmitFirstBarLine;
 
-        public override bool ChangeEquals(ControlPoint other)
-            => base.ChangeEquals(other)
+        public override bool EquivalentTo(ControlPoint other)
+            => base.EquivalentTo(other)
                && other is EffectControlPoint effect
                && KiaiMode.Equals(effect.KiaiMode)
                && OmitFirstBarLine.Equals(effect.OmitFirstBarLine);
diff --git a/osu.Game/Beatmaps/ControlPoints/SampleControlPoint.cs b/osu.Game/Beatmaps/ControlPoints/SampleControlPoint.cs
index 77d42551c6..acccbcde46 100644
--- a/osu.Game/Beatmaps/ControlPoints/SampleControlPoint.cs
+++ b/osu.Game/Beatmaps/ControlPoints/SampleControlPoint.cs
@@ -45,8 +45,8 @@ namespace osu.Game.Beatmaps.ControlPoints
             return newSampleInfo;
         }
 
-        public override bool ChangeEquals(ControlPoint other)
-            => base.ChangeEquals(other)
+        public override bool EquivalentTo(ControlPoint other)
+            => base.EquivalentTo(other)
                && other is SampleControlPoint sample
                && SampleBank.Equals(sample.SampleBank)
                && SampleVolume.Equals(sample.SampleVolume);
diff --git a/osu.Game/Beatmaps/ControlPoints/TimingControlPoint.cs b/osu.Game/Beatmaps/ControlPoints/TimingControlPoint.cs
index 8fe3257786..eb60133fed 100644
--- a/osu.Game/Beatmaps/ControlPoints/TimingControlPoint.cs
+++ b/osu.Game/Beatmaps/ControlPoints/TimingControlPoint.cs
@@ -24,8 +24,8 @@ namespace osu.Game.Beatmaps.ControlPoints
 
         private double beatLength = 1000;
 
-        public override bool ChangeEquals(ControlPoint other)
-            => base.ChangeEquals(other)
+        public override bool EquivalentTo(ControlPoint other)
+            => base.EquivalentTo(other)
                && other is TimingControlPoint timing
                && TimeSignature.Equals(timing.TimeSignature)
                && BeatLength.Equals(timing.BeatLength);
diff --git a/osu.Game/Beatmaps/Formats/LegacyBeatmapDecoder.cs b/osu.Game/Beatmaps/Formats/LegacyBeatmapDecoder.cs
index fe55d19908..c79938e613 100644
--- a/osu.Game/Beatmaps/Formats/LegacyBeatmapDecoder.cs
+++ b/osu.Game/Beatmaps/Formats/LegacyBeatmapDecoder.cs
@@ -359,7 +359,7 @@ namespace osu.Game.Beatmaps.Formats
         {
             var existing = beatmap.ControlPointInfo.DifficultyPointAt(newPoint.Time);
 
-            if (newPoint.ChangeEquals(existing))
+            if (newPoint.EquivalentTo(existing))
                 return;
 
             beatmap.ControlPointInfo.DifficultyPoints.RemoveAll(x => x.Time == newPoint.Time);
@@ -370,7 +370,7 @@ namespace osu.Game.Beatmaps.Formats
         {
             var existing = beatmap.ControlPointInfo.EffectPointAt(newPoint.Time);
 
-            if (newPoint.ChangeEquals(existing))
+            if (newPoint.EquivalentTo(existing))
                 return;
 
             beatmap.ControlPointInfo.EffectPoints.Add(newPoint);
@@ -380,7 +380,7 @@ namespace osu.Game.Beatmaps.Formats
         {
             var existing = beatmap.ControlPointInfo.SamplePointAt(newPoint.Time);
 
-            if (newPoint.ChangeEquals(existing))
+            if (newPoint.EquivalentTo(existing))
                 return;
 
             beatmap.ControlPointInfo.SamplePoints.Add(newPoint);
diff --git a/osu.Game/Beatmaps/Formats/LegacyDecoder.cs b/osu.Game/Beatmaps/Formats/LegacyDecoder.cs
index f5e3a34462..22a6acf459 100644
--- a/osu.Game/Beatmaps/Formats/LegacyDecoder.cs
+++ b/osu.Game/Beatmaps/Formats/LegacyDecoder.cs
@@ -184,8 +184,8 @@ namespace osu.Game.Beatmaps.Formats
                 return baseInfo;
             }
 
-            public override bool ChangeEquals(ControlPoint other)
-                => base.ChangeEquals(other)
+            public override bool EquivalentTo(ControlPoint other)
+                => base.EquivalentTo(other)
                    && other is LegacySampleControlPoint legacy
                    && CustomSampleBank == legacy.CustomSampleBank;
         }