I have a Les Paul Tribute, similar to Steve’s but in a satin sunburst finish (really more of an iced tea burst). I second the call on its versatility. It killed my gas for another electric. Jazz (I keep it strung with Chrome.012s), blues, country, and all manner of rock; it’s all there.
Let me reinforce the jazz suitability, or clean tones in general for that matter (surf twang is there too): A P90 LP played clean is a glorious thing. Of course, it will roar and sing when cranked up. But that singing quality is still there at lower volume and without distortion:
https://youtu.be/Y10ZbXSW1Go?si=ByHIXi9EFzariyl_