Because of the way intonation works in string instruments (e.g. by fine-tuning the saddle of the bridge on electric guitars/basses), I think that you'd be able to have this set up to work well in a few playing positions, but just as the frets get smaller as you go higher up the neck (because of the way pitch works on a shortened string) I'd expect the intonation to get out of whack in other spots on the neck.
As a beginner player, this isn't worth worrying about, IMO. It might unlock some interesting composition options for someone writing a song for themselves... Normally, you have a bassist playing those parts for you, though.