I generally don't tie when we tack up or when we're done with a ride. It's pure laziness on my part. The barn where all of my equipment is kept is about 15 feet away from the nearest hitching post. So I find myself walking back and forth constantly. And carrying a heavy saddle any farther than necessary isn't fun. So I generally just park Rio right in front of the barn door. He knows not to move and rarely gives me any trouble staying put.
I have witnessed one big pull back once before. It was one of those things where I was one person working with both horses at the same time and just didn't quite have it together. Rio wandered out of sight while Nick was tied and Nick wasn't ok with that. He reared up and pulled back repeatedly trying to free himself. Luckily once I got his lead in my hand he calmed down and looked to me for direction. It was quite scary!
Anyway, as others have stated, that trainer is nuts and I'm glad you've found a new one. Just to add one more opinion to it when we're done riding I loosen the cinch and hang it over the saddle. Take the bridle off, then saddle and pad, then hoof boots. However if I'm being lazy as I talked about above I might remove the saddle first since Rio is just standing there it doesn't matter what head gear he has on.