I think that the people who are rotating tires and tightening lug nuts are at the bottom of the mechanic scale - - probably an entry-level position.
One time I tried to loosen a lug nut after a tire rotation. I was using a 15" star spanner (X-shaped) and the lug nuts were so tight that it twisted the wrench permanently and I still couldn't get it off. I think that I put a torque wrench on it and it wouldn't budge at 200 f.p. So, I took it back to the Big-O (IMHO, that means Big zero) and had them use their impact wrench to loosen it. Then the fun began - - I wanted to do my own torquing of the nuts now that they were broken free. They refused to let me leave the shop unless they retorqued the nuts. I positioned myself between the wheel and the guy with the wrench and told him that I was going to retighten the lug nuts and that they would "have to go through me physically" if they tried to proceed.
Those guys were Neanderthals. They broke a power seat by forcing it and gouged a $200 Corvette aluminum billet wheel (which I made them replace).
Recently I went to a Chevy dealer to get tires rotated. I put paint spots on tires to make sure that they rotated the tires. Guess what ? They didn't. I raised a stink and then they rotated the tires - - except that they didn't follow the rotation order that is in the owner's manual. Is that important? Who knows. But if it isn't, why bother putting it in the manual.
So, I think that the underlying problem is that tires are rotated and nuts tightened by entry-level (probably minimum wage) "mechanics". These folks probably have less knowledge and experience than most on this forum.