I think you have to look at DC Comics and then the Superman and Wonder Woman fanbases first.
With DC's heroes, what you often see is that they have more well-rounded personalities while they're in team books in order to keep the team dynamic interesting, but then you see that go away in their solo books, where the lead is pretty much perfect and always in the right. This goes across almost every major character from Batman to Flash, with the exceptions being some of the smaller characters like Animal Man, Booster Gold, Huntress, and Plastic Man. Overall, this inconsistent portrayal leads to fractured ideas within fanbases of what a character should be. I don't think anyone can objectively say their preference in the right one, but you can find a larger consensus within a fanbase.
If you look at the Superman and Wonder Woman forums here, it looks like the characters are so iconic that the fans want them both to be depicted fundamentally the same paragon way: patient, not brash; competent in every scenario, even new and foreign ones; preachy about love and peace without taking stances on real, weighty issues; authoritative; fearless or without doubt; not wise-crackers, but not humorless and cold--essentially gods, since human psychology doesn't support all of these qualities all of the time. It's what little kids think their parents are like before they get to know their parents better. I get how people can find comfort in that, but I don't think it works well for a universe of people who are supposed to be distinct from one another beyond surface level stuff.
To avoid redundancy, we've seen writers lean into the warrior part of Wonder Woman a little too much to where she comes off as bloodthirsty. I don't want that. I also don't want her to be another Jesus/Moses analogue like Superman, which was a complaint about WW1984. I don't mind her being a fish out of water who has to learn a few things (non-Themysciran gender dynamics; ice cream; politics and spy-work to help trafficked women; etc.), especially if she has things to teach in return. So yeah, she can go around hugging AIDs patients like Diana Spencer and still be someone who shows compassion for an enemy even when she has to kill, like Tanjiro from Demon Slayer.
I don't see much difference between Wonder Woman and Superman these days, at least not without blowback. I think if I were to try to distinguish them, it would be that Diana has preconceived notions as an outsider that a sometimes wrong, unlike Clark who grew up as an insider without much understanding of his background. This may make Diana come across as above-it-all, unlike Clark. On the other hand, I'd give Wonder Woman more of a disregard for the rules than Clark, who can break the rules if absolutely necessary, but who wants to avoid making enemies or really stirring the pot, potentially making things worse. Wonder Woman wouldn't care about what the UN has to say about some humanitarian issue, while Clark would be concerned that he's causing a bigger issue in the long-term by interfering. I guess, in that sense, Wonder Woman would be more optimistic about the effect she could have on the world, being more ambitious about social causes, while Clark wants to keep people safe and leave them some room to make their own decisions and own mistakes. Of course, he's not going to just watch people get hurt, but he's not going to interfere in a war zone unless things are particularly screwy. Since she was raised as a warrior while Clark was not, I would have Diana be more decisive about how to end a crisis than Clark, who tries to find better solutions, even if that puts lives at risk. In that situation, both are right and both are wrong. It's gray, especially if Clark is shown to be wrong in some situations. In contrast to Batman, she's more considerate of other's feelings, like Clark, but is also more practical like Bruce in terms of not seeking out the perfect solution--just what works best in the moment for most people.
If I were to create an influence map for her, it would include: Tanjiro (compassionate for enemies she feels she has to kill but is still going to do her duty to save lives); Margaery Tyrell (subtle, cunning kindness); Moana (adventuress-ness); Esmeralda (liveliness, outgoingness); and Judy Hopps (has a sense of justice but also preconceived notions about the world that are not always right). As you can see, she'd be driven but still have flaws and would be in the right sometimes and not in others. She's an extrovert, while Clark is an introvert.
Clark would be like: Samwise Gamgee/Hinata Hyuga/Alphonse Elric (generally quiet but steadfast, earnest, and kind); Steve Rogers, trying to follow the rules to do what's best for everyone (and potentially eventually becoming more of an insurgent, who thinks he knows best and doesn't really care about other people think, which is not always a good thing, like we saw on JLU); Pepper Potts/Catelyn Stark/Jorah Mormont/Starlight (clever and competent without being showy about it); Ann Perkins (funny, in a particularly kind way); and Stefan Salvatore (tough/resilient in an introverted way).
I'd like for people to accept the differences between ENFJ personalities (Wonder Woman) and ISFJ personalities (Superman), without making fuss about their character being the best all the time, lol. Both personalities have strengths and weaknesses. Never going to happen though--people are obsessed with their favorite outdoing everyone else!