Don't update view if settings were not changed (#10407)

src/settings-ui/Microsoft.PowerToys.Settings.UI.Library/BasePTModuleSettings.cs

@@ -23,5 +23,16 @@ namespace Microsoft.PowerToys.Settings.UI.Library
             // By default JsonSerializer will only serialize the properties in the base class. This can be avoided by passing the object type (more details at https://stackoverflow.com/a/62498888)
             return JsonSerializer.Serialize(this, GetType());
         }
+
+        public override int GetHashCode()
+        {
+            return ToJsonString().GetHashCode();
+        }
+
+        public override bool Equals(object obj)
+        {
+            var settings = obj as BasePTModuleSettings;
+            return settings?.ToJsonString() == ToJsonString();
+        }
     }
 }