I've only ever been DTD while on BC, so I don't know the difference. But what I can say is that FI has no complaints about how often, because it seems like we both equally initiate and enjoy on a very regular basis. BUT what I do
know is that different BC brands have different levels of "potency", for lack of a better term. Quite a while ago my doctor put me on a "lighter potency" BC and I lost weight, noticed my AF got a bit heavier (but nothing too bad), etc.
Still very effective, but probably allows for a better libido too.