This is all just flavoring though. You can convey that personality through her animations. And honestly, on the surface, she's pretty similar to how she was in The Legend of Zelda: Twilight Princess; A quiet, sombre woman who fights for her kingdom in the only way she can. The main problem is the lack of a dress, as a lot of her animations were made with it in mind, so you'd have to do a lot of reanimating to make that work.
IMO, it's a question of "will they" rather than "can they".
That's not "flavor". That's her core characterization. It's the exact reason why she had no chance using the BOTW design. Nothing changed.
Characterization matters more than just a design alone. Also, see what I hard said about "Sakurai intends to represent more than one game." We already got TOTK with Link. Zelda is supposed to represent ALTTP/ALBW. That's a heavy part of why she was changed that way. That didn't magically change. TP Zelda was barely characterized to begin with and was just a quick change in Smash due to being the only one with the same core bodyshape. It's a completely different situation from Ultimate's design philosophy. Comparing her to the fleshed out BOTW and TOTK character is really not fair. They're a different kettle of fish. Only one actually has a lot of story, after all. Midna was the only Princess in TP with actual major characterization. Zelda might've been meant to have more, but that's only because we don't know if Sheik was meant to come back or if she was solely created for Smash in the TP style. The Hyrule Historia is vague in both languages on that.
Honestly, TOTK is popular as hell, but Link is the only one actually designed to transfer over to it properly without going entirely against the intention behind the cast's overall designs. And the idea of even getting a new Zelda character is pretty easy to dismiss. We know who was planned. More clones, and it was an OC and Toon Zelda specifically. There's a pretty clear indication the whole point behind the design process continues to be about variety. It's why two more Toon characters would even be considered, so you had both GameCube games fully represented(not that they would be easy to make, but I spoke on that earlier).
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Characterization is not a flavor thing in Smash. That's how they're supposed to act, and every character kept their same personality. The flavor things that changed were minor design factors by representing other games. Zelda, despite being in her TP form in 4, still acted like the OOT design. In both cases, she was somewhat stoic, but still rather proactive. She had non-stoic moments too in her various taunts. This carried over to Ultimate. They never once changed her personality. She was never adventurous either in Smash. It's exactly why BOTW was not a plausible option. It's a completely different character. It's not just changing her taunts alone. You aren't using her dress. That's not BOTW Zelda people know. You're using her core adventurer design because it's the truly iconic one. She acts different, animates different, and even has different skills overall. Variety was the other reason, I said a bit before; ALTTP/ALBW were the most logical change to Zelda, since it fit her OOT personality the best. TP was the outlier design, but only because it was slightly odd. However, with barely any personality in said game, they didn't have to really change anything to make it work. It's also notable her leadership skills in the opening of Adventure Mode is something pretty much only from TP, so they kept that part of her too.
Anyway, as she's a completely different character in BOTW and TOTK, there's no way, even if they gave her a skin based upon it(which admittedly has a better chance than a full change), she would change that much. If you look at others, Ganondorf became slightly more mean compared to OOT, but it was just basically less of an air of politeness, while still keeping his murderous personality. It's really just that TP gave him better facial expressions to show exactly what his personality from OOT truly was by that point. Smash also somewhat had it due to more options for animations. I do think they might give Ganondorf a skin similar to TOTK due to some facial animations matching up super well. But beyond that? Pretty unlikely to take much from it.
A clone of Ganondorf based upon TOTK, though? While pretty unlikely, this might work the best in keeping how different they really are(Ganondorf, contrary to popular belief, is not super evil in the N64 and GameCube games. He's outright noted to directly have some weirdness surrounded by Demise's influence, but also was capable of good things, as shown in WW, where he legitimately had good thoughts. TOTK Ganondorf is a true monster who chose to be evil 100% and is willing to go to any length, even destroy his own personality to win. Ganondorf in OOT and WW has some tragic factors. TP Ganondorf was pretty much a case where he had kind of a barely there personality, but even moreso, played second fiddle to Zant's overall characterization. He's not fleshed out, and also from a different timeline. Being Dorf's questionable agency, and the fact he turns into Beast Ganon heavily resembling the being of hatred from BOTW alone, it's now made more clear he no longer in that case cared about anything but revenge. Which made it more obvious something was wrong in Four Swords Adventure when he just automatically became evil with absolutely zero evil influences, showing Demise had him in his hard grip that time. When he didn't(in WW's ending), Ganondorf outright gave a big middle finger to Demise's influence and went out on his own merits, being free and to be himself. It's also why it's treated as the best one since TOTK where he's an actual truly notable character(but still 100% different from the other Ganondorf portrayals).