Yes, it's one of those cases where compassion works against people - because it's a dirty, costly local fix that enables the structural problem to fester.
You don't want a system that requires "heroic effort" as a baseline. You want a system where "heroic effort" is reserved for heroic circumstances.
If doctors are running ragged and putting in unreasonable hours and burning out during a natural disaster or a worldwide pandemic, it's understandable. If doctors are running ragged and putting in unreasonable hours and burning out during "business as usual"? Something's rotten.
Run long enough like this, and you'll simply deplete the people who dared to care - and leave ones who never did, or learned not to.