As a huge TES fan, I disagree that Zenimax Online qualifies as a TES team. TESO is a good MMO, but it doesn't play like BGS single-player games do, it doesn't feel like them, since it's made in a different engine and isn't as immersive and detailed, and has the usual MMO things. Besides, the game is filled with hundreds of other players running around and ruining your immersion. Fallout 76, for all its online leanings, largely feels like a proper BGS game, since it's made by the same studio and on the same engine and you barely meet other players anyway. So it's not comparable, and it wouldn't be really correct to say that TES has a separate team working just on it. TES fans have been waiting for the next TES for a decade and will wait for 5 more years by the time TES VI releases. Fallout fans have it much better, with 3 Fallout games released since 2010, the last one released just 3 years ago, a live service game that's still supported with content.
Heck, I'd kill for a Fallout 76-style TES game made by BGS to play it until TES VI instead of a TES MMO by ZOS. If anything, it's the TES IP that doesn't have its own team--Fallout has BGS Austin while TES and Starfield have to just wait their turn until BGS Maryland is available.
Besides, Starfield, being another sci-fi BGS game, will likely play a lot like Fallout in many ways and I'm sure lots of Fallout fans will migrate to it until the next single-player Fallout.