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.