Of course it does. No matter the draft, there's still a certain level of prestige that comes with the 1st overall pick from a marketing perspective and a lot of the POBO/GM job is essentially being salesmen to their various cons uencies (ownership, who in their case is said to be meddlesome and run the team, Snyder who's said to have a say, fans, media).
Sarr, while seemingly unlikely to be a star, is also a good fit for them, clearly more so than the potential options at 4.
I'd guess Johnson's value is neutral and Branham's is nil.
They supposedly prefer to retain Murray and with the Spurs owning their next 3 drafts, tanking is probably off the table, so if they trade the former instead of Young, it'll probably be for a pseudo star like Ingram, so they can at least maintain and potentially fit better.