It is actually an interesting detail about these two... What is interesting is that we do not learn Valkyrie's name - officially its Brun[n]hilde but it isn't said in the movie.
Also, Valkyrie pushes away her former self and identity. She represses her memories because she can't bear to think of what happened to the others.
So: A girl as "no" name.
Now, on the other hand, Captain Marvel has many names.
And that kinda confirms what I think of Larson's performance in my Facebook entry.
Depending on the question if you see the superhero identity as a sort of a separate personality (one could argue that superheroes have a personality disorder) or not, Brie Larson plays 2 to 3 different characters.
At the start she is "Vers", a name given to her by the Kree, making fun, loving to fight but otherwise emotionally toned down. Then she learns what her flashbacks mean and that she might be Carol Danvers. This is when you also get disturbed looks, tears etc. But it's still not super emotional and therefore fitting the character. It takes the whole movie, right before the end, when she fights the Supreme Intelligence, that she defines herself as Carol Danvers and, unleashing her true power, therefore Captain Marvel.
But the actual, complete character is just seen in the very end when she puts on the jacket:
The Kree uniform represents Vers, the colors Captain Marvel and the leather jacket Carol Danvers. This is why she wants the jacket back after the finally because she becomes the character only at the very end.
And, it's sort of confirmed by the end credits which list "Captain Marvel / Vers / Carol Danvers".
And her callsign is "Avenger". So: A girl has many names.
Two women with repressed memories, with an identity crisis (so to say) - you could say that these two are a perfect match.
Which is btw. different two many other Avengers. Both were introduced without a love story.
Captain Marvel does, unlike Wonder Woman or Alita (which is great btw), not rely on a love story and a woman emotionally fired up because of the love interest.
Plus: isn't a pure Marvel women movie the thing Tessa Thompson wanted... I think she once said something like that. 🤔