I have a hard time with low cost clinics, because on the one hand you have problems like you've laid out above, and on the other hand... When my family was bankrupt, destitute, and teetering on the edge of homelessness, low cost clinics were the only ones who didn't tell us that pets were a luxury and we were stupid to have gotten them five or ten or fifteen years ago when our family was stable and able to take care of them at the time. That was a very damaging period of my life and it was made so much harder by the sheer number of people who treated us as if we picked up all our pets knowing we couldn't take care of them, or who treated us like do-nothing owners who didn't care about the welfare of our animals. The only reason we were able to maintain ownership of the animals we'd had since I was three years old was because of low cost clinics.
I'm very luckily no longer in the position to need those services any more, but I donate time and money to low cost efforts when I can, because they really were a startling source of compassion and a bright light in an otherwise really dark part of my life. I hope places like that can continue to provide those services to people who really, really need it at that point in their lives.