No idea, Tom, I am not familiar with either of the products.
After the Ox Yoke business got sold off to RMC, I am not sure if T/C uses them as a source or not.
And after T/C got sold to Smith and Wesson, I think the only thing the bean counters would be interested in is a sex lube.

As a guess, I would think they are maybe at least related.
I never take the breech plug out of my firearms, so the nipple is the only thing I ever remove. I use a smidge of Bumbling Bear Grease from October Country for lubing the nipple before reinstalling it.
Just for grins, I Googled T/C Arms and found this
https://northamerican-outdoorsman.com/thompson-center-arms-returning-to-its-roots-and-forging-a-new-future/A very interesting article and definitely worth a read. Since I got my first muzzleloading rifle, a T/C Renegade in .54 percussion, T/C has always been a favorite of mine. I have owned a bunch of them.
I don't think T/C offers any sort of lube products at this time.
But then, I digress...