RMortis is spot on. It could be a very good model, to be the point person within your institution for peri-op OSA consults. Operationally, though it's harder than it seems. If someone gets newly diagnosed peri-operatively in your clinic, are you going to keep them as patients long-term? What about all of their comorbidities? This is why the adult pulm-sleep docs work so well. But if your institution is willing to staff/fund a periop OSA clinic to optimize outcomes/prevent catastrophes, it could work, then you send them to adult pulm-sleep when done with periop care.
Other option is to split your time equally between OR and sleep clinic. As long as the anesthesia folks give you the time and flexibility to go do your clinic, attend sleep conferences, etc. Gotta keep up with both specialties and reading PSGs, prescribing sleep meds in the outpatient setting is a very different bear than doing combinations of Anes-CCM for example, where there is a lot more cross talk.