Would any of the issues that have been keeping 1972-present TPIR off the schedule have any effect on the Cullen version though? Personally, I would think not.
The only possible thing I can think of is if there's some issue between Fremantle and CBS (and anyone else who might have an ownership claim) involving the naming rights, similar to what appears to be the issue with Hasbro over
Scrabble.
Otherwise I think I agree with you. That's part of the reason I don't really buy into the online fan theories that the entire series is being kept off the air because of furs, Barker's perceived beef with certain models, CBS supposedly fearing ratings erosion, or whatever--None of those issues should have any bearing on the Cullen version whatsoever. (Those theories all have other flaws, too, though not the least of which is the lack of relevancy to Cullen's version.)
Considering Cullen TPIR left GSN about the same time Barker did and never returned to national TV until now, I've figured it probably boiled down to some naming rights issue. I'm not a copyright attorney, though, and there's a lot behind the scenes that we're not privy to, so I'll gladly admit that's speculation on my part.