I dont get grossed out by my own kids, or daycare kids poops AT ALL! I think the secret is just not breathing thru your nose and not smelling the nasty smells! I couldnt care in the least bit!
I dont wear gloves or anything, just I always wash my hands with soap and water after and I use hand sanitizer often as well.

I have only 2 dcks potty trained, one 3 1/2 and one 20 months (girls). Both became potty trained at the same time, 2 months ago. I wipe bums for their poops, although I should make the 3yo attempt it herself, but its just I am usually always rushing to get the pee, poops and hand washing done with so I can attend to the other kids.

I also have a 4yo dck and I could not IMAGINE wiping her bum or her go pee/poop in a diaper or otherwise!! That is too old for sure!!! Gross!!

I do agree with the others who have said that this is more of a choice and not a lack of control issue with pooping on the potty...the time out sounds like it worked wonderfully!

i have yet to encounter these issues with my own two kids! (21 months and 3 months)