I would suppose the difference is WWE was quite open about their goal being to squash every other company in the world and TK is always talking about pro wrestling being one big happy family. As stated, NJ's problems have been due to their inability to trust the younger generation, if they had been pushing those guys properly it could have softened the blow of losing White/Ospreay/Okada a little. It's not TK's fault that Gedo has been booking on a treadmill for years now.
CMLL will be fine as well, the Lutteroth family owns all the buildings they run and the promotion basically runs itself and the only thing that would cause trouble is if the family suddenly decided they didn't want to run a wrestling company anymore.