People are too incompetent when near Leia.
You also have to remember that the Empire stated Anakin Skywalker was dead as well. Given everything we know, saying Vader's identity is a secret is the only thing that makes sense. And just because Vader does not wish to associate with the name does not preclude it from also being a secret. If there is part of my past I would not wish to associate with, I would not want others to find out about it. Thus making it a secret because I want to keep that part hidden from others.
Peace is a lie. There is only passion. Through passion I gain strength. Through strength I gain power.
Through power I gain victory. Through victory my chains are broken. The Force shall set me free.
–The Sith Code
You'll never get a proper answer to that, and it might not be as binary as people here would like.
Most likely, Vader simply doesn't want to associate himself with Anakin anymore. The most obvious reason is probably because Anakin doesn't come without Padmé. There are plenty of individuals who worked out who he was and lived - most prominently and recently Thrawn. Thrawn got to live because he was a) clever enough to not state the obvious, and b) was a highly valued tool for Vaders Master.
That being said, there are plenty of reasons why Reva knows who Anakin is. The two most obvious ones are that she knows him from her Padawan/Youngling times, and her not being too smart a cookie, telling everyone, because she's one cocky SOB. Another might be that Vader told her himself, because he wants her to drop this name here and there to lure out Obi-Wan. Her goal seems to be to capture Obi-Wan, not kill him, like that former Jedi in Anchorhead. Maybe Vader found out she found out and gave her a chance to live, by finding Obi-Wan. If not, end of the road for Reva.
I'd wait and see why she knows before being too concerned or angry about it. Plenty of time to be upset that 'some rando knows' if the show never gives us a good reason.
Inquisitors were fine (they are Sith, with all the grandiose flaws), even the grand one (I don't think he's dead, in Rebels he told that there is fate worse than death, and Boba Fett taught us that it's very easy to cyborg someone back to life)
Obi-wan flashing lightsaber after telling the other jedi to bury it - STUPID
10 yo Leia outrunning 3 adults who could get her like several times but chose not to - SUPER WEIRD. Maybe D. Chow liked that chase scene from Boba. Also the thugs acted silly. I even thought it's a kiddy show for a moment there.
I hope the Leia angle ends up being just a link to Leia asking General Kenobi to be her only hope in the New Hope. Like this is how they know each other. I don't want this to be the Leia Show. But it seems it's gonna be Baby Yoda Season of Mandalorian but with Kenobi and Leia.
Obi-wan flashing his lightsaber again on a more populated planet - SUPER STUPID
I liked how he Kenobied his way around though - reminded me of the Animated Kenobi a lot. At least with Kenobi we have a decent performance.
The con-jedi was interesting, I hope he's ok. Might be the beginning of the rebellion stuff.
I also wanna know what beef does the "whatever number" sister have with Kenobi. Seems very personal.
All right, gentleperchildren, let's review. The year is 2024 - that's two-zero-two-four, as in the 21st Century's perfect vision - and I am sorry to say the world has become a pussy-whipped, Brady Bunch version of itself, run by a bunch of still-masked clots ridden infertile senile sissies who want the Last Ukrainian to die so they can get on with the War on China, with some middle-eastern genocide on the side
If you've seen the two episodes already:
Ewan acted learning about Anakin perfectly. His collapsing, utterly terrified and pained expression felt in another league entirely compared to the rest of the show so far.
I greatly disliked "how" he learned, however. From a badly acted character we are indifferent about in flatly delivered lines. It's like she's watched the prequels and comes to gloat at Obiwan. The three inquisitors look like idiots with anger management issues, which I guess puts them correctly in the position of "Disney villains". The whole thing of walking around the streets looking for Jedi is just stupid.
Asajj Ventress was a so much better female villain than this confused fake-angry girl.
I kept thinking, whenever this new inquisitor was on screen, that I'd much have preferred the inquisitor girl from Fallen Order. Or someone Asajj Ventress-y. They had actual characters to base this new one on with a lot of reference material for what made them compelling. Instead... They went with whatever the heck this is
Kumail felt like a cameo, not a character, yanked out any star wars feels...
Generally I think it's pretty fine so far.
I am not so sure where to put and what to do with that con jedi, and it seems a little strange that someone would be able to con people with small technical gimmicks (aka "magnets") in a world with space ships and holograms.
And that Leia chase, it went from Benny Hill style slapstick to No Country for Old men murder in a blink. Like what?
But overall the direction seems fine. The start with the younglings might also mean they cater to some of the memes. Curious of we get some "hello there", "I have the high ground" or "I don't like sand" references. And let's see if the inquisition might come behind "Ben Kenobis" real alter ego after all.