Neil is pretty much involved in making of TV show.
They are hundreds of people at ND and Neil is now a co-president, so I assume after TLOU2 he will be less invested in game development outside writing. After TLOU2 he also wrote a draft of the TLOU3 story just in case they decide to develop TLOU3 somewhere in the future.
Maybe he stops directing and instead he overviews their future games and co-writes their story. They always promoted people to game directors in their recent games and TLOU2 even featured 3 game directors, so I assume Neil was training them to let them direct their future games.
Not saying that many people from ND are involved but quite a few for sure
Remake is not being made by VASG. They wanted to do a remake, but Sony shut their project down and moved it straight into to Naughty Dog. So ND is making a remake, not VASG. Btw, head of VASG then left and found a new studio (That's No Moon).
Yes, the remake is being made by VASG people and if it exists is because of them. It was their idea and they pitched it.
Part of VASG, including their boss Mumbauer, created that secret 2nd Sony studio in San Diego because they wanted to make their own projects instead of working always as a support team. First they uncessfully pitched to make CG movies or TV shows of the main Sony IPs, and Sony told them to focus on doing games.
Then they though about making their own games with themselves as lead studio instead of being a support team, and thought that it was easier to get greenlighted a remake because requires less work and it's mostly from art, the part where they excel. They did that also to reuse assets they made to pitch an Uncharted movie/tv show into an Uncharted 1 (game, playable) remake.
But they saw it required a ton of game design and programming work to update properly such an old game, and since VASG is focused only in art and animation, then decided to remake a more recent, less outdated -in terms of gameplay and game design- game. They thought on a TLOU1 remake with the idea of bundling it with the TLOU2 PS5 version (I assume in a TLOU2 Director's Cut or Morales Ultimate Edition fashion).
It got greenlighted and they started to work on it themselves as the lead studio, with ND obviously providing the source TLOU1 material and some support. Time after that, Hermen Hulst gets promoted in 2019 to his current position. He sees the remake, doesn't like it and thinks they were spending too much budget on it. So he asks them to switch the roles of their roles to their original ones (ND as lead studio and the San Diego VASG guys to art & animation support) to complete it (I assume) faster an better.
Mumbauer and a few more left Sony to work on his original vision of making CG movies and tv shows of top gaming IPs reusing the game assets made for cinematics. Zenimax did open a studio in the San Diego area and since the only main gamedev studios around there were these two Sony ones, they tried to aggresively hire many people from both so Zenimax hired some people working in the remake.
Bend helped with Factions for TLOU2 because Sony cancelled their pitch for Days Gone 2. But now they are working on new IP and are not helping ND anymore.
Bend helped ND with Factions and the Uncharted spin-off because Bend always support ND and ND always support Bend when they have free people who completed the work in their game and won't have nothing to do until their next game months or even years later. According to their bosses the studios have a very good relationship and they did it for decades.
So as Bend's keep completing their job in Days Gone, until their next Bend game reached the state where they could move there they did help ND projects (the TLOU MP game and an Uncharted spin-off). Bend pitched Sony to make Days Gone 2 as their next project and didn't get greenlighted (who knows, maybe Sony was already working on a lot of sequels and prefered to keep Days Gone 2 for later and make a new IP instead). After that they pitched Sony a new IP and it got greenlighted and they started working on it, so Bend's workers started to move to work on that new IP when it made sense.
Remaster of Uncharted 4 on PC is being made by Iron Galaxy. PS5 version is being made by Naughty Dog.
So yeah. ND is working on remake, remaster and TV Show. And they are researching ideas for new games. That's confirmed by both Neil and Wells.
Out of hundreds of ND people, only Neil is working in the TV show. Looking at comparision videos, the 'remaster' in console is barely the same games recompiled for PS5 (so pretty likely getting higher FPS, resolution/detail and loading times just because of that) with a few minor changes in lighting, the big work there are the PC ports. And being PS4 and PS5 BC, most of their work on the PS5 versions may have been to implement the new PS5 features like the DualSense stuff.
According to Mumbauer (interview with Jaffe) and Schereier Sony's 2nd San Diego team pitched the remake and was making it as the lead studio until (according to Schreier) Hermen got his current position, saw the remake and thought they were spending too much budget on it so asked the Sony San Diego VASG guys to go back to their original art & animation support role for the remake and put ND as lead studio of the two to complete it (I assume faster, better, and cheaper), I assume with people free from their TLOU2 work.
What Neil and Wells said last month is that
they think we'll continue getting Uncharted, TLOU and new IP projects from them, they want both create new series and continue working on their established IPs. Neil also mentioned he wrote a draft for the main story of TLOU3 just in case they decide to develop it somewhere in the future. And yes, in addition to work in the games they have under development the studios always have ideas for future games and sometimes they make some early preproduction work with a tiny team to start shaping and prototyping them before pitching it.