“A POA is for finances, a health care proxy is what you mean.”
That’s true in Massachusetts, where I have elderly parents, which is how I know. It’s false in California, where I deal with powers of attorney for healthcare (Probate Code Section 4701) quite often. The terminology varies from state to state.
If your parents are in Mass you need to do the same thing. Get those documents in your name and don’t let any state agency in their house.