As far as the "Face of the NBA" thing goes, here's my general take on it.
The NBA's popularity as a whole is on the rise, but it's increasing abroad while it decreases domestically. With the idea of a face of the league being primarily a marketing thing, I'll therefore assume that trying to push someone as that will be with the US in mind. With that being said...
LeBron, Steph, to a lesser extent KD: They serve this role currently, but they're old and won't be like this indefinitely.
Jokic: Up in that tier you can reasonably say is the best player in the world, but he's white, European, and doesn't really give a shit about such a media push.
Embiid: Similarly elite player, but he's African and has some baggage in the form of playoff failure, foul baiting, flopping, and being hurt all the time. I think the season he's played the most games in is still below the season Jokic played the least. The weirdness and whininess surrounding last year's MVP also doesn't help.
Giannis: Certainly has the on the court ability for the job, European though and has expressed that he doesn't intend to stick around for media stuff after he doesn't have to (I think he even compared himself to Tim Duncan in that regard lol) but he's certainly more inclined to engage with that side of things than Jokic. He's also still black, so people will have an easier time getting over him being foreign than with a Jokic or a Luka since the sport is mostly viewed by black people.
Of the three listed so far, Giannis has the best chance of being the face of the league, but these 3 are also on the older side of things. Giannis and Jokic are 29, Embiid's 30. LeBron has distorted a lot of people's perceptions of what's a normal career length in professional basketball, but it's safe to say we shouldn't be holding our breath for these guys to still be elite at 40, especially the notoriously injury prone Embiid. LeBron will still be around a couple more years, so when he's gone are you really getting that much time with Giannis as your face before he starts to decline a little too much for that? Jokic's game should age the best since it's the least dependent on athleticism, but he's the one of the trio who's just a total non-starter for being the league's face because he'd refuse. As such, I think they'd look younger, which brings us to two younger subsets I find more likely. SGA, Luka, and Tatum, then Anthony Edwards, Ja Morant, and Wemby. As for the younger players:
Shai: While he is a foreign player, he's Canadian rather than being from somewhere overseas. The NBA has a Canadian team, after all. He still played in an American college and Canadian youth basketball is still similar to American AAU. He's got the ability needed, given his MVP contention and that his team is doing well. I will say I don't see a ton of him around in the media, but I think the media could certainly work with him if they were so inclined.
Luka: Top tier player who'll probably get an MVP at some point, his biggest issue is being a white European but he's way less media shy than Jokic is and I think would have an easier time overcoming his foreignness. His attitude and defense could also impede this sort of thing, but that's stuff he can grow out of and I believe he was already on the cover of one of the video games.
Tatum: A really weird one, because you'd think he'd be the obvious choice but he just isn't. I don't even really know what it is, there's just a lot of people who aren't big fans of Tatum. Vibes are off, as they say. He's a high level black American player, if a tier below the serious MVP candidates, he isn't 7 feet tall, he plays a pretty all around game, and he's also got ties with Kobe who was reinvented as a media darling post rape trial, and yet people just don't seem too keen on embracing him as the face and I don't really know why beyond "LeBron and Steph are still playing."
Ja Morant: Young fans really love him and he plays flashy and athletic (a very stereotypically "black" way of play, really) but I think the double helping of gun nonsense has sunk this ship, and the way he plays does put him at a lot of risk of injury and a sharp decline once he gets too old.
Anthony Edwards: Young fans also really love him, and he's another flashy, stylish, trash talking black American. Big thing with him is that he's not media trained at all, given stuff like his homophobia incident and calling players "lil ass niggas" on live TV, and forcing that out of him runs the risk of alienating people who like him *for* that. I think the league can memory hole the gay stuff well enough, and a lot of people already compare his style of play and demeanor to Michael Jordan to the extent there's a lot of jokes about him being Jordan's bastard son. He's also 22, so he's got plenty of time in the league and to maybe tone it down just a little bit on social media. I'd say he's a front runner for this status.
Victor Wembanyama: Clearly he's gonna be impossible to ignore. However, he is French and relatively quiet while also not playing aspirational basketball at all, being 7'4. Then again, he's probably the most hyped draft prospect since LeBron. He'll definitely get a lot of push, I just don't think he'd be a singular face.
My tl;dr prediction: Transition from LeBron/Steph to Giannis as a stopgap, then a mix of Shai, Luka, Edwards and Wemby with an overall bias towards Edwards.