If only everyone would just agree that all we're talking about is the general undesirability of having 'necessarily earthed' metal around one's house (something I am always saying), then there would be nothing to discuss/debate.You two (J & P) really are labouring this unnecessarily especially as you have answered the question in your post.
However (and maybe I'm misinterpreting what people are saying), there seems to be an implication that there is something 'special' about a Class II electrical item, such that it is in some sense 'worse' ('less safe') to ('unnecessarily') earth the exposed metal of a Class II electrical item than it is to ('unnecessarily') earth a metal worktop, bath, window frame or whatever - and I have yet to see any reason to agree with that.
Kind Regards, John