Well, they definitely would if they were the only ones available; the point is there are at some places he can go. And yeah, it’s actually not unusual for seniors only to be able to do so much exercise without hurting for the rest of the day, without that counting as a disability.
But it feels weird to have to defend him when the concern is hypothetical. Just don’t take things away from people unless there’s actually a problem from them. We’ve all seen people who attack services on the off chance they could be abused, and I don’t think you want to be one of them.