People aren’t crediting the bass much because the OP stated that he switches basses and gets the same tone.
TWO. He mentioned TWO basses. One of which is the signature model of the guy the tone in question is a dead ringer for. I'm also willing to posit that a given OP is not always a reliable witness. Especially on something as subjective and transient as tone. So maybe the tone with the other bass WASN'T quite the same? Oh, and then he actually posted that the guy playing the other non-JP bass doesn't sound the same. When a guy says "how does he get this tone that sounds just like John Pattitucci, and oh, by the way he plays a Pattitucci model some of the time", to me, that's a significant piece of information in solving the puzzle.
Anyway, that Boss video confirms my suspicions on technique. He's barely gently caressing the strings. The guy definitely knows how to get more out of doing less. That also points to lighter strings, because it gets harder to excite heavier strings with a lighter touch (not impossible, but physics is working against you). Although to some extent that could also be playing into the warmer tone. So you'd have to experiment with various combinations to find the right balance that would get you there.
