Oh yeah I play other matches.
Heck I have even played tournaments on league days. Its been some real fun and hectic times trying to squeeze a league match in between a tournaments singles matches.
Usually I only get to play doubles in league matches and thankfully I am still young enough that it does not really affect me playing a league doubles match and then other matches the same day. I know that this wont last forever though. Each year that goes by it affects me just a little bit more than the previous year. Usually I am fine the day I play but I notice that my recovery time gradually takes a little longer each year.
Racquet: Wilson PS97 String: Prince syn gut @55lbs in mains, ISOSPEED Baseline Control 16 @50lbs in crosses, Wilson 6.1 95s backup same string setup