Access? UK tries this. High taxes and high borrowing to fund a large public sector. Result:
- People can't reliably see dentists or get doctor's appointments because the nationalized health system can't manage capacity properly.
- People can't reliably move around the country because the public sector transport workers are constantly going on strike, despite Tube drivers earning £56k/yr, only a bit less than that of a software engineer.
Putting the public sector in charge doesn't guarantee access to anything, it can easily lead to the opposite, which is why the USSR was constantly being wracked by bizarre shortages especially for anything that mattered to the general public like consumer goods. And now the UK suffers massive healthcare shortages. Same problem.