Ok, I'll try one more time.
I am not describing TTM.
I am going over the info that was given in this thread.
And that is that if you have hard surfaces that the trophonts can attach to (including the tank walls), then you need that tank to be fishless for 75 days to guarantee that those trophonts cannot re-infect fish.
I don't know how running it with fish and copper for 75 days would work, I have to assume it would not be good for the fish.
Again, someone corrects me if I am wrong but I believe this is the lifecycle: ich trophonts (I think these are like cysts) burst, releasing the free-swimming stage into the water column. This can happen any time from the time the trophont is formed and latches onto something hard, up to 75 days later. The free swimmers look for fish, and attach to them, causing ich (I'm unsure if there is a 3rd form, that the free-swimmers become, inside the fish). After some time those infected fish then release more trophonts into the water, starting the cycle over.
So if you have ich in your tank, you have to assume the hard surfaces have trophonts, and that they will release free swimmers every day for 75 days. If you have fish in that water, they will be infected. Copper or chloroquine phosphate kills the parasite in the fish. It does not kill the trophonts. So, if you let the fish go for 30 days in copper, it has killed the parasite in the fish itself but has not done anything to the trophonts at all. I am unclear if the trophonts can be on the skin of the fish, but I don't think so. However, I think 30 days in copper is going to start running into issues with fish health.
This is why the 14 days copper, followed by transferring the fish and sterilizing the QT tank is suggested: the fish will be cured of any ich they might have had, the QT tank is sterilized, removing the trophonts, then you have 14-28 days to treat the fish in non-copper water with other meds for parasites and diseases, without them having to be in copper, and without any chance of encrusted trophonts releasing more free-swimming ich parasites.
Tank Transfer method does the same but requires a tank swap every (IIRC) 72 hours, several times.
--Gray