We have both AAA and AARP, both have membership fees, both offer benefits beyond just lower room rates. AAA of course roadside assistance and AARP a lower membership fee and I'm sure I've gleaned some other benefits, but darn as a senior I can't remember what they are right now! Oh yeah, magazines every month. Sometimes with interesting articles. And a tote bag or somesuch when you renew.

I never consider using those rates "cheating" the hotels out of money. They are rates that the hotel chooses to offer.