How does the fork affect BTC price?
If its not significant fork it doesn't affect price much, first fork was ugly and scary one where bitcoin cash was created because you had many supporters of both of them with many people supporting one another. But see with bitcoin gold and we hear about other forks which are really meaningless to the bitcoin it self. I think that people want forks since then you can drag down people to that fork and directly tie them to owning some of that hard forked bitcoins, whereas with new altcoin it will take longer time to convince people to even buy it in the first place.