Considering CSI: Vegas already got cancelled, that franchise does not have a stranglehold on any network's schedule.
As for NCIS, with the cancellation of NCIS: Hawai'i, they only have the mothership show, Sydney and the upcoming Origins series now. Personally, I can do without the Younger Gibbs Chronicles aspect of the Origins series because there's no reason to suspend disbelief if he's ever in danger in this new show. We know he lives to become Older Gibbs. I would much rather have seen them renew Hawai'i. As for Sydney, I don't think anyone was expecting them to do well enough for people to want more. It was originally kind of meant just for the foreign markets and then became the US TV savior of "new" episodes when the actor's strike was going on. The Tony and Ziva spinoff they are doing is going to Paramount+.
As for the FBI franchise, I only watch the original series.