I have never heard of anyone doing a water change during the TTM. I have only used it once, but I did not even use an Ammonia Badge since three days is not enough to worry about it. I am not a scientist so I can't give you scientific proof, but I have been actively involved in QT for almost a year straight, (I QT everything wet that is going into my 750 XXL) and I have never seen any signs of Ammonia until at least day 3 or 4 and never at levels high enough to worry and water changing on day 3 would be pointless since you are switching tanks that day anyway. I guess you can dose Prime if you are really worried, but I didn't since I was dosing MetroPlex and PraziPro as well and wasn't sure if Prime would affect that.
I should add that I think the TTM is extremely effective and one of the fish I used it on visibly had ICH show up after day 2 and has been ICH free since day 6, (had it for about three months now) but it was just too much for me while also maintaining 2 main saltwater tanks, 2 freshwater tanks, an Invert QT and a Coral QT so I went back to copper for 2 weeks and a transfer to a clean tank then PraziPro and MetroPlex, (insert any other meds needed at this stage)for 2 weeks then a transfer to a clean observation tank for two weeks.