I believe that if you run without sensors the DIC will keep complaining.
Also, I think you'll find videos on Youtube showing how to replace non-replaceable sensor batteries.
My understanding is that TPMS is integral with the metal valve stem. Google it. Amongst other things, the reset procedure involves locating a big magnet around the valve stem.
For the C5s
If no TPMS then about every 30-40 miles driven the DIC does show TPMS issue
BUT does not trip traction control or go into limp mode
Simply erase if from DIC and off again for 30-40 plus miles
GM did this on purpose, so people could switch to race wheels and have no TPMS for a day of racing
Some tricks if now wanting to have TPMS in wheels such as racing
Leave the sensors in garage, every time car is in garage is when starting or before key off is let sensors sync up to the controller
and then C5 is running OK for miles again
Or take the 4 sensors, put in a can that can be air pressured up to like 27 PSI.
Put can in hatch cubby space and run the wheels without them,
saves having 2 sets of sensors for street and race wheels or costs of adding them from one wheel style to another
Lastly if not wanting to screw around with TPMS is find someone with a GM Tech-II
As TPMS for some C5 years was an option, like for Z06s so in the BCM is a software switch that can be turned on or off for TPMS
and set to off will never trip a low pressure warning.