Have you tried Pressurewounds? I never really liked Flatwounds to woolly in sound and too slippery in feel, I had them on my very first bass (shortscale, so slippery AND flappy!) I quickly moved to rounds. I even tried Groundwounds (do they still exist?), then I discovered Pressure wounds, I initially tried them on the fretless to reduce string noise and surface damage from roundwounds and I really liked them.
I tried the Rotosound Solobass (apparently developed in collaboration with John Entwistle) they were ok but really seemed little different from roundwounds, so now I'm using the light L7200 GHS Pressurewounds on all my basses.
They take a little getting used to, they are more slippery than roundwounds (particularly when just fitted and treated with string glide) this is an advantage for slides, but means hammer-ons require a little more attention. I see them as "best of both worlds" rather than "compromise", you may not like them, but I'd recommend giving them a decent trial.