I gotcha, but I've heard it the other way too. Right now, I do not work for an assigner, which means I get to pick and choose. I was at a game with my mentor a few days ago and heard a story about how someone turned back a postseason girls game he was given, which bodes very bad for his future getting games. I guess at the college level too, turning back games is one of the worst things you can do.

EDIT: Just read your latest post. High schools in my area are about 50/50 assigners/self-hire. But yeah, I won't turn down any games I get from an assignor.