If I KNOW the equipment is shit, I may stay home. This is especially true if they're seriously out of level.
Luckily that hasn't been the fact so far. I've played on Diamonds, GC's and Dynamics mostly. Also some other brands. And the snooker tables and English pool tables I've played on have all been excellent. The Chinese 8 ball tables too. I think it would be worse if the equipment was really bad in those other cuesports than pool, honestly. A crooked snooker table with dead/uneven rails would be just a nightmare.
I don't particularly care for Diamond tables, especially for straight pool, but I'll adjust and play anyway. If I had to play on crooked Valley bar boxes, I might not play at all. I play for fun, so if it's not fun, I'm not playing. If somehow the Vallyes were level, I'd play, no problem.
I'll play using any cloth or ball type.