I'm guessing the situation in question is one where a child is on the team already and a change in family finances (lost job, divorce, etc.) has made paying for everything associated with gymnastics more difficult. If this is indeed the situation, as a coach I would want to do everything possible to help keep that kid in the gym. They are probably facing so many other changes in their life at the same time that taking away something they love, and are pretty good at, would just make matters even worse. I agree that there is no sense to go into financial ruin over gymnastics, but if they just need a little boost for a few months until they can get back on their feet, I think options exist.
If the child is old enough they could help assist with younger classes or do other odd jobs around the gym. If the child is younger, see if you can offer a position to the parent in exchange for discounted tuition- cleaning, working the desk, taking care of leo sales in the gym, helping plan activities in the gym like birthday parties and fundraisers, etc. Whatever your gym has a need for. If that isn't a possibility, maybe you could encourage the Booster club or club owner to offer some more fundraising options to help offset costs.
If the gym is in a very financially stable place, it might be feasible to cut the family a break temporarily, though I would probably expect them to be involved around the gym in some capacity if at all possible rather than just giving them a free ride.