Yeah, not exactly the same story at all. In ANH they rescue Leia because they happen to be there, and they botch it and Leia has to get them out of the mess. I really don’t see a lot of parallels other than Leia got rescued from an imperial facility.
That’s worth noting before we get too far in the weeds on finding comparisons and similarities that are completely unintentional. As Yotsuya points out, they weren’t going to rescue her at all. In fact, they weren’t even going to the Death Star. All of that was happenstance. Just as an unrelated, remote system, farm boy even being part of the story was happenstance (before Lucas had writer’s block a few years later).
That said, there are plenty of things to criticize about this series and I’ve done so myself. However, I don’t see any of that Ring or Rhyming bullshit that some factions swear exists. If anything, this series telling a new story is one of it’s strengths.
As to its conflicting with the 1977 film, I don’t care. As an original fan from 1977, I’ve never let anything conflict with that film. I either ignore attempted connectivity or skip films entirely. Star Wars is a movie from 1977. Obi Wan Kenobi is a TV show from 2022. I have no problem whatsoever separating the two. If anything, I’d struggle to connect the two.