That GIF is incredibly misleading. It's not about hiding the app from home screen, it's about uninstalling it and not having it run in the background.
Android added this capability specifically so that users can remove anything that's pre-loaded, regardless of what any company wants. There's no iOS equivalent because Apple doesn't want to to remove their stuff.
Disabling an app is almost the same as uninstalling (the app can't be open, does not run in background, etc.), however since they are pre installed applications they are still present in /system partition (not a problem since /system is not available for users data anyway).