Asked myself the same question this week on the New York Thruway on Labor day weekend. Mid-morning after 3 hours of interstate driving, my TMPS alarmed at 90 PSI (down from 109), 85, 80,75 etc rapidly and 60 by the time I got stopped. Inside dual on Passenger side. Pulled over on shoulder and as I approached the tires I could hear the air leaking out. Felt around the tire and found air leaking from the valve stem extension hose. These are new tires, installed 3 months ago. Should I drive 20 miles to next Service center or wait for roadside service? I carry a compressor but didn't think I could remove the hose.
Decided that the probability of damaging one or both $500 tires and possible very expensive damage to underside of coach wasn't worth it. Coachnet connected me to a mobile tire service that removed the defective hose and air'd up my tire and we were back on the road in a couple of hours. My TPMS paid for itself after 10 years of convenience.