Again, there are outreach programs and clinics. If my town has them, most probably would. Waiting until Friday at 11pm doesn't help.
I'm well aware that problems can happen after hours. I once had an urgent plumbing issue after hours and paid the price.
I don't doubt you, but still uninsured people are told to go to the ER. By just about everyone. That's what they know. If you have no insurance you do what you can to get by. Right or wrong, people on the bottom rung tend not to care about the cost efficiency of the upper rungs. That's not a opinion endorsing anything, just an observation.