Quite scary to look at - they must have the same plastic surgeon I guess. Had to stop watching her Hot Ones appearance as I found it quite unsettling.
Here is the evidence:-
Cox:-
https://youtu.be/GTCKN_XBpxQ
Lowe:-
https://youtu.be/-gZ8fVwo_n8
My running joke with my wife is that she can't tell black people apart. Unless there is some sort of distinguishing facial hair, she seriously confuses so many black actors.
With me it's Asian females. I had two female Asian acquaintances. No relation to each other but both are the same height and weight, have shoulder length black hair, wear the same Clark Kent-style glasses. I'm always tense whenever one of them comes up to me in public because I'm afraid I'll get their name wrong.
With you it might be white people. I Google image searched them side by side... except for blue eyes and great cheekbones they look noticeably different.
Did you look at the video links I posted?
Maybe looking at old Google images doesn't highlight the startling similarity as well. You're right about the eyes and cheekbones but it's more a result of the way their faces / expressions are stuck in exactly the same fashion as a result of plastic surgery.
I wouldn't say you had to watch all of those videos. Maybe just fast forward to a random point of both and watch their faces for maybe a minute or so at most and you should see it. The foreheads are stuck in place, the lack of movement around the eyes giving a permanently startled look, the frozen Joker-ish look of their smiles. It's really odd.
And no, I don't find all white people look the same. I've watched dozens of Hot Ones episodes with many white contestants, male and female, but the oddness of Courteney Cox's face had me thinking "hang on, I've seen this face before, who is it..." before it dawned on me. I'd recently been watching some Parks & Recreation episodes...