The Universal entitlement scheme would need to cover trauma/emergency plus whatever other care the taxpaying public regards as essential for all and wants to fund. It can be established as a formal insurance scheme (as the ACC is) to prevent political meddling.
FWIW, the cost for the ACC scheme including cover for the worker/family/visiting tourists etc is $160 per year for a programmer earning $50,000 annually. $95 of that is an allocation for injuries prior to formation of the scheme, meaning the ongoing cost is actually only $65 per year. IMHO that's not bad for a scheme that includes compensation for resulting disability and pays 80% of salary until you can get back to work, as well as funding healthcare.
"... They ne'er cared for us
yet: suffer us to famish, and their store-houses
crammed with grain; make edicts for usury, to
support usurers; repeal daily any wholesome act
established against the rich, and provide more
piercing statutes daily, to chain up and restrain
the poor. If the wars eat us not up, they will; and
there's all the love they bear us."
-- Shakespeare: Coriolanus, Act 1, scene 1
