On the bright side, this feels similar to duke nukem 3d when played in third person mode, which I Iiked doing sometimes back in the day. Even has better controls. On the other hand, this feels similar to duke nukem 3d's physics, too. I had a lot of trouble with the platforming.
Overall, it's pretty good. I can't think of any way to make it better that wouldn't either be hard to do with pico-8 (like adding a strafe button), or just require making more of it. I guess the textures aren't a very good match for the character and enemies, but I think fixing that without making the game more boring would require a higher resolution, which would defeat the point.