You are ignoring the fact that a Class I item must be earthed. There is no choice. Earthing a Class I item makes it safer, earthing a Class II one makes it less safe. Less safe is worse than safer.You're ignoring the rest of my statement: I said no worse than if you'd used a device which was not double-insulated.Of course it is worse.
If you earth the metal case of Class II device it is less safe than it would be if you left it alone. Less safe is not "no worse".
There is a choice to not earth a Class II one, and it is a choice which you should exercise, because otherwise you have made it less safe, and that is worse.