Did you ever solve your issue? Mine is acting up as well, but the opposite problem.. it randomly stops working. I've pulled the module out, and I think it might be an issue with the ground, but I can't figure out where the ground is located.
I get a 11.9v difference across the unit when it is not working, and a 12.0v difference when it is... which doesn't seem enough to create problems with the receiver, but I'm at a loss otherwise.
Here's the thread of my problem: https://www.silveradosierra.com/electrical/2014-rcdlr-tpms-keyless-entry-intermittent-crewcab-t741673.html