I don't know if these are the official terms, but there's classic BRT, and modified BRT. Many Graves patients I know who find their symptoms recurring when trying to go off ATDs, yet find that they're going hypo even on minimal doses of ATDs find success with the latter, that is, staying on a low dose of ATDs with a modest dose of thyroid replacement.
It would be great if docs would try it, combo and hyper patients. The problem is that ATDs have a very undeservedly bad rep in the US.