I’m just a beginner player, but what are the pros / cons of this vs those quick-change capo things?
They do different things. This like, instead of playing an F and a G on the low E string by fretting the first & third fret with your fretting hand, you can "fret" it with your strumming hand, which would free your fretting hand for the other strings around the 12th fret. This, in a way, lets you play a bass line and high melody without moving all over the fretboard wildly. The video on palmfrets.com shows this more clearly.
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.
this shortens the string from both sides and gives the player the ability to engage/disengage as part of their right-hand playing.
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.