Then one would use the normal QT. TTM does not exclude the use of a regular quarantine. The standard procedure is TTM followed by an observational quarantine in a cycled QT to deworm and watch for other ailments. The point of TTM is so that you can cure ich in 12 days, meaning that a much shorter observational period is required.
If fish start showing symptoms of velvet or another disease that requires medication to treat during TTM, obviously you move them into a cycled QT where you can use copper or CP. That said, many people combine praziquantel with TTM without issue.
Just like your UVS setup, if a disease presents that requires medication for treatment, UVS/TTM is discontinued, and one instead does things the "old fashioned" way.
Why? For small concentrations of ammonia, small concentrations of ammonia neutralizer are adequate. There's absolutely zero need to use a standard biological filter.
That's adding unneeded work, with zero benefit.
You keep bringing up the ammonia thing, so I think perhaps I'm not communicating clearly.
All fish constantly produce ammonia as part of their normal metabolic processes. Normally, one relies on bacteria to convert ammonia into other non-toxic (or dramatically less toxic) nitrogenous compounds. When using TTM, one instead uses prime, which converts ammonia into a form with extremely low toxicity. Prime itself is also non-toxic at reasonable concentrations. Given fish produce a relatively small amount of ammonia, unless one is using a small tank for a large fish, ammonia will not build up to the point where prime/amquel is an inadequate control method within a 72 hour window.
That is why a standard bio-filter is not required for TTM. Ammonia never reaches levels where it cannot be controlled using a few ml of prime.