So you would completely reject a person's offer of friendship because of a trait of theirs that they have no way of changing? Would you also reject someone for the colour of their skin, their eye colour, their height?
This is life, not luvly jubbly fantasy world... Our personality is intertwined into everything we do/are/stand for/belive in. Personality is effected by these. These may also change to fit our changing personality. There is no reason for me to be friends with someone I dislike or who's personality is annoying.
Maybe you don't understand what a friend is. All this social media BS has turned the word friend into a meaningless word. Just because you talk to someone and are nice does not mean you are friends.
I worked at a grocery store for 2 years, and not a single fellow employee was my friend, nore did I want them to be. I treated everyone the same. Whether my personal stance was more positive, nutral, anoyed, or dislike. I did my job, and interacted normally with them while at work and expected no more or no less. Outside of that they were just another person on the street. If I ran into them anywhere else I would say hi but thats as far as it goes. Aside from those who made it there intnent to become an enemy, I still and always will hold a nutral standing towards them, just as I would any random person I pass on the sidewalk.
A couple of them semi-regularly invited me out to drink with them, though it was more friendly harrassement than anything, for they knew I wasn't interested. If they were a friend, I would have said yes. However, I simply declined.