Suasa-vito...nice Jazz.
I vote "No" for the 'fake/faux inlays. They're FAKE!
Storytime-
Mid-'80s, I want to buy the needed parts to assemble my first bass. I'm going with a Warmoth Jazz neck with an ebony fretboard. The salesman sez "...you want abalone inlays for the dots, right? You don't want stickers as dots, right?" I agreed, I didn't want sometyhing 'cheap' stuck on this 'expensive' neck. So he calculates & the real abalone dots adds over $100 to the neck. Damn, screw the real dots...does Warmoth make necks WITHOUT any dots? Of course the salesman said he doubted it; I make him call & of course Warmoth sez they would just pull the neck pre-dot sticking on. Then again, I like the Classical guitar look of my bass.
BTW, if this new P-bass is gonna be fretless...IMO, the block inlays & maybe even the dots might add to your initial misery of trying to play in-tune. No?