Egypt's climate doesn't suit them nor do they just travel without a Strong enough incentive and most importantly do you fathom how large Africa is? Because if you truly did you would spout nonsense like this.
Or are you gonna somehow Mentally Gymnastics your way into claiming Nubians?
People migrate for all sorts of reasons.
We're also discussing events that happened over 8+ thousand years ago.
Ur climate argument is also nonsense due to nilo Saharan populations still living in the area today, (their bodies do just fine)

West & Central Sudanic/Chadic people have been in the region since antiquity.
Egypt also wasn't an arid hellhole back then.
Evident by the foliage & animals depicted throughout their dynasties.
Horners are no more related to them than populations west of them.
If u feel they are explain why they're also depicted like this.
NONE of these people are Nubians.
& the 3rd one was considered divine!
If they were strictly a horner/near Eastern people. Why would their divinity be depicted in such a way?
Phenotypical variation isn't exclusive to horners in the context of Africa.
We don't all have extreme wide noses,4c hair & huge lips.
Tighten up