It shouldn't. If you are going to put a collar on one of your roosters, check for signs of pain or distress. If it hurts him, look for a new type of collar or try the other options.
It's difficult to say for sure, and if you know who manufactured the collar perhaps contact them to ask. However, most fabric collars will go through the wash just fine....
Don't worry about the collar. It'll be removed soon enough, as long as you don't stray too far from your objective when first confronted by the Brotherhood.
