Yeah Lighthouse is a nice little tool. That and GSC are pretty much the only info you can get directly from Google.
Otherwise I'm just falling around on Ahrefs and hoping for the best while everyone is freaking out over AI overviews
I think the SEO score is mostly just checking if all images have alt tags and links are descriptive and clear enough. The more technical things like speed go under Performance and Best Practices.
Still 15 minutes left of work here so my conscious is clear