TT is probably my favorite QT method; although it does require more time & effort. In and of itself, TTM exposes the fish to no harsh chemicals (like copper) in order to eradicate ich. However, I do usually opt to treat with Prazipro (to deworm) at the onset of transfers 2 & 4. What I get after 13 days is a fish that should be rid of the two "hidden diseases" which plague our hobby - ich & flukes. I then observe for velvet, bacterial infections (both of which have obvious visible symptoms) and intestinal parasites (white stringy poop) for two more weeks before adding the fish to my DT. That's it! One month and you are done!
Another advantage of TT is you are able to quickly add medications to the water if needed. If you notice intestinal parasites, you can start treating with metronidazole. Or add antibiotics to the water if a bacterial infection suddenly pops up. All while continuing on with TTM. No need to worry about negative interaction with copper, or hyposalinity that needs to be raised first.