I've been on the other end of that. Had a tire go flat and had no TMPS.
While running about 68mph on I90 in SD, a guy in a car pulled up next to me and hollered via open windows. "You've blow a tire" he screamed at the top of his lungs. Drat ...
Not sure how long or how quick it happened, but it was completely gone; nothing but a shred of a memory of rubber on the wheel. Luckily no damage to my rig or anyone around me, but apparently the tire did roll off the rim, go across the lanes, and bounce about 30 feet high up in the air before going ditch bound. I always carry a spare, so a quick change and we were back on the road.
Ironically, I had just replaced the tires right before the trip; probably only 1300 miles on the tires when that blow-out happened. It was under warranty, and we got it replaced at a Discount Tire in IA a few hours later at a lunch stop in Sioux City. Not sure what happened to the tire, but I assume it was the typical China-tire experience many have. The road-hazard warranty I got on those tires paid for itself in one outing.
Next time I'm getting the new GY American made ones; I hear good things. And will probably invest in TPMS. TPMS may not have alerted me in time to stop such a sudden failure, but had we been on a more desolate road and not a crowded highway, I could have destroyed a rim instead of just a tire! Because without that guy yelling at me, I would have never known about the blown tire. The trailer didn't act any different, nor did the truck. From my perspective, it never happened from the driver's seat. It's not unheard of that people pull trailers with blown tires and don't know it. I once had to alert a woman pulling a little pop-up that she needed to pull over. She had pulled it for so long that (literally) about an inch of the rim had worn away. And she had no spare!