It depends on the type of tie, the tightness, the placement and how ofter you use them.
It depends on the person.
My hair doesn't like the thin ones even when they are "ouchless" and don't have metal. I have to be very gentle taking them down and unwind them instead of just pulling them down or they will pull out hair.
Eventually I'm going to make a batch of satin scrunchies if I remember :/
i find that all of them cause breakeage , even the oucheless ones with no metal , i still see a few hairs wrapped around it when i take it out. I'm not that worried about a few pieces of hair though. The breakage could just from putting pressure on the same spot everyday.
I have been using these for the past few weekshttp://www.beautyheaven.com.au/product_images/28415/59292.jpg
They are jelly elastics. They don't snag or rip hair.