Longer is always better when going fallow. It's always possible an untested strain of ich exists that can take
longer than 72 days for all the theronts to be released from encysted tomonts.
I recently attended a lecture by Tony Vargas (author of "The Coral Reef Aquarium") where he advocated letting a newly setup tank cycle
without fish for at least 90-120 days without light; 180 days is even better. His argument had nothing to do with fish diseases, but to let the microfauna on the LR propagate without being eaten by the fish. Doing this alleviates some of "the uglies" many new SW aquariums experience (diatoms, GHA, dinos, cyanobacteria, etc.) The theory is that microfauna present in sufficient numbers inside your aquarium will deal with these problems for you, keeping them out of sight.
So, what does this mean for you if going fallow to starve out a fish disease in your DT? Take the opportunity to add more pods/microfauna to your tank, or stock more CUC if needed. You can even add more corals/inverts during the fallow period, so long as you restart the 76 day clock to compensate for any tomonts which they might be carrying. Turn a negative into something positive and fun!