I've heard loads of stories of people denied healthcare help while incarcerated. But I believe they are obligated

There's lots of red tape and forgetting, not to mention simply not responding to them as if a nurse was walking by a hospital room with the call light on, that can be done. There are numerous articles out there about diabetics going into comas because they were denied the insulin their family had for them in the prison lobby, individuals who were seizing being ignored, people with broken bones being thrown into general pop, etc. etc.

I wouldn't count on getting better care. You might, but you might not.