I got a chuckle from how she was describing her stats. I think to someone who has never played the game it would completely fly over their heads and they'd just think it was part of her quirkiness.I actually like how much they are leaning into the style of the games (at least 3, 4, and NV). One of the opening scenes even has Lucy choosing her stats and starting skills.
Minor spoiler from an episode you haven't watched:
For example The Ghoul is very clearly using VATS and has the bloody mess perk, he also started eating some food after getting hit to get a health regen boost. It felt exactly like in the games when you walk into a raider camp as a high level player and just easily dispatch them with precision critical hits using VATS.
Something I did like was how it just very much felt like an intro you could have easily had in the start of a new Fallout game. Like you could take Lucy's intro and make it shot for shot the intro to Fallout 5 (with the Ghoul's intro as the prologue) and it would completely work. Hell, if they felt like doing a GTA5 multi character story thing you could put Maximus' story in there too.
That to me is what is most important in adapting video game content to the live action medium. It should feel like it captures the world, tone, and spirit of the game it's adapting. If they bend the lore/Canon here and there, it doesn't really matter to me. So far I think it's off to a great start. And that's promising for video game adaptations in general. Halo is an unfortunate flop (I've been waiting since 2006 for a live action adaptation and now I wish we never got one) but The Last of Us, Mario, and now it seems like Fallout are hitting it out of the park.
Edit: I'll also add that the tone and spirit of the comedic relief in Fallout seems to be really well executed so far. They have the right balance between horrific and funny and I hop they don't overtip that balance to too much funny in later episodes. Also, the Ghoul's intro scene with the first day of the nuclear attack was just sublime.