Some people may see it as a challenge to take down someone with a streak. I took down a player with a 24 win streak once, and it was a match to the death because he was trying to keep his streak and I was trying like mad to break it.
Free Step Dodge
UncleBiscuits79
xDevious
I guess so. I mean, I do feel accomplished when I beat someone with a high streak. However, I never try-hard, whether I'm trying to keep it or break it. I just play normally. It's the people that go into complete try-hard mode to win/keep a streak that annoys me. Nothing wrong about fun, hard competition. 
Chapstick
I hate having them because people act funny towards you. They insinuate I really care about it and go "HAHAHA BEAT YOUR STREAK" when they beat me. I'm like "ok gg"