/anecdotal evidence/Thats how it worked for me, Got a carriage bolt in my passenger side rear. left my wheel at the tire shop to get a replacement and when i got it back still had the warning. put it up on the jack and let the air out of the tire/re-inflated it to spec and drove about 2 miles before the sensor reset.
worst case you can drive by most independent tire shops and they'll take care of it for free, I usually grab them a starbucks to say thanks : )
13 WRX Hatch - Cobb OTS Stage 1