They can't take Charlotte's unprotected 2023 first, because the Spurs own the protected version. Charlotte can't trade their 25, 27 and 29 firsts either, because the Spurs own their picks for three years. They could only guarantee two unprotected picks and two swaps. If they unprotect the pick, they have way more freedom to trade the rest, but the Spurs have to agree to that.
Also the Bridges stuff makes it more likely that Charlotte wants to keep Hayward in a win-now situation, so I'd bet on them preferring Rozier go out. His contract is probably not something the Jazz would just take without wanting more compensation than Charlotte can offer. SA could take either Rozier or (hopefully) Conley to ease the burden, for a fee. Also, also, the Hornets may want a win-now center like Poeltl if they're going all in, especially if they're trading Mark Williams to Utah. The Spurs are a very good match here.