And I track negative hp down to -10 hp.I find "whack-a-mole" distorts the framework of the game so I use Lingering Injuries/Wounds at 0 hp.
I'm not really seeing the greatness.
Sure it provides slightly more mitigation than Inspiring Leader, but Inspiring Leader has the benefit of being used proactively rather than reactively and that benefit can be the difference between surviving a hard encounter and not surviving a hard encounter. Also you don't need to bother with buying and lugging around dozens of healer's kits.
They do have an hour to bandage themselves, if that helps you visualize it.Keeping in mind I still haven't started playing 5e yet, but from my point of view, I find the notion of someone bandaging people up after a fight a lot less eery than people healing up naturally at a freakishly fast rate after a short rest...