I haven’t used any Framework systems, so I can’t really give a proper comparison. I have owned two S76 laptops, a now-ancient Lemur Pro I bought back in 2017, and just recently, a Pangolin I just picked up a few weeks ago. I haven’t really had a chance to put the Pangolin through its paces, but it does have AMD-based 3-d acceleration built in. The old Lemur (and the new lemurs) only have basic Intel graphics.
I was able to use my old Lemur for some very light gaming. I think last time I was traveling, I was able to play Football Manager and Fallout Shelter quite successfully, but Lord of the Rings Online was just a bit beyond its capabilities. I would assume that Skyrim would definitely be beyond the Lemur’s reach.
It looks like the F13 does have some amount of built-in 3d acceleration, so just looking at specs I would expect it to do better than the Lemur. Lemur’s got a slightly larger display, but neither are very big. The rest of the specs look like they can vary quite broadly depending on your order so that makes the rest a bit hard to compare fairly.
Like I said, I’ve never even seen a Framework laptop in person, so I can’t give a hands-on comparison. I can say that I’ve been very pleased with my experience with System 76. If you’re looking at S76, consider the Pangolin. It’s only a little bit larger than the Lemur, the price is pretty close, and it comes with more capabilities.
edit-to-add: Whatever you pick, I hope you will come back and tell us how it turned out.
The first title that jumps to my mind, especially when you contextualize it around “restoring faith”, is Satisfactory. It’s been a very entertaining and challenging game, but also the development team has been exactly what one (typically) wants from a dev team. They’ve been very transparent about issues, their process, etc. Their interactions with the fan-base have been frequent and open throughout the years of development. Good game + good company. Worth consideration if you like a good factory builder.