I would guess that one of the sensors is getting tired. I have heard that the capacitor that stores the piezoelectric energy goes bad. In an early car, the problem is that you don't know which sensor is the weak one since the receiver does not send out a different error code for each wheel. In my case it was two real bad ones and one boarderline one. I borrowed a box from Gordon Killebrew (Gordon's School in Tennessee. The best money I ever spent!). It had a receiver from a newer ZR1 and would put out a different code for each wheel sensor failure. I drove around with it until it gave an error and then I could determine which was the bad sensor(s).
You might also try simply reducing the pressure to 20 psi in one wheel at a time and driving around. It should take a block or less to light the Low Tire Pressure light. Ignore the Service LTPWS light if it comes on. If you are lucky, one tire will respond a lot slower or not at all. If so, you should replace that one.
I still need a RF sensor. It works ok when I drop the pressure but lights the Service LTPWS light on occasion. I tried twice to order a new one from
www.gmpartsdirect.com ($140 versus $200 from GM) but it comes up as "out of stock". I also tried Corvette Central and my local Chevy dealer with the same answer. I'll try again later and hopefully succeed.
In the worst case, it is easy enough to remove the bulb in the dash for the Service LTPWS light.
Good luck.