From a country that had it, it usually means: ugly hospitals, sad faces, long queues for treatments (I mean wait time for "free" treatment can be well over a year).
There is no free lunch.
On the other hand, I usually can get my kid to doctor same day, while using private healthcare provider (paid by my employer) it is almost impossible, 2-3 days wait.
On yet another hand, to get registered to my local doctor I need to use phone and start calling when they open up (8am) - sometimes I can't get to registration. The private healthcare has a normal website where I can look up registrations - so it is less time consuming (and automateable to some degree).
Private hospitals are rare here, and most of real work is done by public ones. Because the hospitals don't have enough money, they e.g. don't provide separate meals for people that need them (e.g. you had a digestive tract operation), so it is up for the family.
Good thing recently is that if your kid needs to go to hospital, there might beds for parent to stay with the kid (I'm not sure if that is that common in all hospitals)