Yeah, I get hell for wearing a half face respirator through TSA because of the exhaust valve. NO issues at ticketing, check-in, or boarding gate. Get stopped at TSA and typically once on board by a curious attendant. IF you double mask (or put a KN95 inside the respirator to block free flow of air out the valve like I do), you can wear any mask that has an exhaust valve; just be prepared to explain it to the attendants.
On my recent flight to Guam, wore the respirator on Delta from LAX to HNL without question; an hour into the Delta flight from HNL to GUM; had to get the captain involved over my mask. Captain was satisfied, I was written up by the attendant but I wore my respirator and there were no further issues. Same flight and nearly all of the return flights, at least a dozen people immediately around me wearing chin straps, bandannas, neck gators or other cheap masks with valves and weren't questioned or told to wear the mask properly once. All personnel on the flight had to be either vaccinated or have a recent negative test to fly (or both).
The rules are not properly enforced by anyone, nor have the mask types been adequately tested by the powers that be.