All the things they beg to be free takes someone's time to produce.
It's only fair that if these people have to give their time for free, people wanting free stuff should start by refusing pay for their time.
But they won't because we all know it's all about "give me free" anyway.
The number of people needing medical treatment can go up waaaay faster than the medical schools can churn out quality professionals. If the population-to-doctors ratio rises far enough, then they are incapable of providing the same high quality treatment to everybody. Rights are Equal, and an overwhelmed bureaucracy is anything but. Corners must be cut, thus violating the supposed human rights of the patients that weren't prioritized. Theoretically you can offer the doctors more money to do more work, but a doctor is not an automaton capable of delivering a consistent quality of care 24/7