I went the other way. Started Jazz copy, then a P fretless, then a few basses later another Jazz back in 80's.
In the 2010's i bought a Geddy Jazz, then a P bass (now sold), then a PJ and now a MarloweDK Jazz lookalike on steroids.
I do like my Geddy Jazz tho both for tone and the neck and playability. Its just so nice and a warmer tone than the Sandberg.
I might have a try on a US P bass again as i do love the tone of a P too. Nothing else sounds like a Fender P.
Dave