We as parents sort it out and discipline as we feel best for the kid.
Sometimes this will not be in front of everyone. I am not going to scream at my 3 yo because it gives a middle aged woman with a sobbing PFB sactisfaction. I will discipline in my own way, in my own time. I know what works for my kid.
It doesn't mean we don't care.
What really really gets me, more than anything, is when this translates into bad feeling between parents.
IME, when a kid hits another, the parent of the hitter feels like crap and they actually could do with a bit of support too. not so much a whispering campaign.
And it is exhausting
oh I hate soft play and am in a foul mood, and don't get why this week, as soon as I spend a second with dd, ds has to whack the nearest older girl in a frilly dress with a bouncer father. Actually I do but-aargh
(its filly btw.)