Underread,
I agree with your position for the reasons you give.
Vmcg is not relevant on landing until you reject the landing below this speed (and how often do we do that?) but you're still bowling down the runway at a good lick and a long way before you'd need to worry about the speed if it were a take-off situation.
That is to say, if you make a go around after touchdown you just don't use full thrust until passing Vmcg.
You logic is sound and the rules reflect that.