I'm used to control stations having separate plugs for additional boosters. Never really did see one where you hook up a booster to the track power of another booster or command station....
Most do have plugs. The Advance Square has a plug (although, for some reason, it is labeled "For Factory Use Only", it is in fact meant to drive boosters in addition to the one built-in). I just don't know what's going out on those lines, and hoping I can find out. (I don't have one to test. Anyone willing to part with an expensive bit of DCC equipment for a week or two, if I don't hear back from Gaugemaster?) But in nearly every case, even when there is a plug, what's being sent to the booster is an unamplified DCC waveform. The booster merely amplifies it. Thus, in theory, you should be able to use the track output of one booster to drive a second, assuming the second doesn't mind 12–16V on its inputs (and, if it matches NMRA recommended practices, it should be perfectly happy with that).
Still, if there's a DCC signal coming out of that plug, I'd rather use it instead…