The whole 24hr thing seemed ridiculous to me, until I learned about the concept of continuity of care and a loved one spent a few stays in inpatient care. Now I don't really know what the answer is anymore. It sucks to be regularly handed off when you've just established some rapport with your provider and reached treatment plans, and the evidence shows it impairs outcomes.
I speculate whether we could have duos who rotate with each other, rapidly trading naps and duty & working closely together, over say a 48, 72, or 96 hour period. Barring emergencies, each gets 12 hours rest a day, and from the patient perspective they function as a tag team. But, not a healthcare professional.