TFS has a patreon for them, but it is explicitly not for DBZA at all. It's for their other work, including their original content. You can argue all you want about how they wouldn't get any patrons if they hadn't first made DBZA but that's irrelevant. They're not making money off of DBZA. As for their marketplace, they use images that look similar to Toei's characters, but don't ever cross the line to certain trademarked or copyrighted content. They have a specialist they consult to make sure it never does. Again, that's just fair use.
Nappa's voice used in Xenoverse isn't relevant, because as has been established that isn't within Toei's purview. It's a Bandai thing, which evidently Funimation has a lot more control of, given that not only were they able to let Takahata and Kaiser (and I think Lanipator) make voices for the two games, they were also able to let TFS write the script for that custom voice. As established, Toei would have a seizure if Funimation ever attempted that with the anime itself.
And once again, you're wrong. If Toei could remove DBZA it absolutely would. It can't, because whatever contract they have evidently allows Funimation to control whether or not DBZA is allowed. This has been stated and demonstrated multiple times by TFS. Funimation, not Youtube, is the one who retracts every one of Toei's claims. Toei does not like DBZA and would absolutely strike it down. It can't, because Funimation says no. If that's irregular, then it's irregular. Evidently the contract stipulations allow this, and Toei isn't inclined to fight with Funimation to change it.
The combination of your Weird Al and AMV statements make it clear you're conflating visual aspects with audio ones. An AMV does pass the fair use requirements of the visual content. It just isn't fair use of the song that's included. Weird Al generally only asks permission for the audio part of his song (if he does at all. He's discussed that he often has gotten sued by the original copyright holders for his songs and doesn't care, because it always ends with his songs still out there) but the visual part he generally doesn't need to. Thus, he asked permission from Michael Jackson for Eat It (who was so approving of it he pointed Al to the place he filmed Beat It), but he didn't ask Lucas for permission for The Saga Begins.
You have a solid theory about Toei, but it's controverted by the statements issued by TFS in the past. While their videos often get removed by Toei bots, that's not always the case, and they've gotten legal threats from Toei before in the past. They just ignore them because Funimation has their back. You can complain all you like about how that's not how the law works, I don't care. That is how it works with TFS and Funimation vs Toei. It has been established as so for years. Maybe the reason for this is some kind of tradition Toei follows. Maybe the reason is because of special wording in their contracts. Maybe Sabat has the daughter of Toei's CEO kidnapped in a dungeon as leverage. The reason why isn't relevant. The end result still means that when it comes to DBZA, Funimation gets the final say, not Toei.