I agree, although the physical fight supposedly happened in 2013 so well before Harry met Meghan.
So he could have denied that the conversation about M took place without denying the physical fight.
I wonder if it’s because it puts him in the place of the aggressor, rather than the victim, which is his preferred role to play. Still, it seems a very bizarre thing to bother refuting so immediately and publicly, in context of everything else being said about them.
does feel like there has to be more going on behind the scenes.