So I guess saying that Squirrel Girl could defeat Doom isn't actually far-fetched now.
It was never far fetched.
Anyway, yeah, the whole "hacker alias" thing is pretty weak. Obviously I haven't seen how it plays out, so they might do something cool with it, but my first reaction is that it feels like those really flimsy justifications for weird stuff you regularly see in adaptations that serve no real narrative or thematic purpose and only exist to explain something weird from the source material. Those types of things usually don't work, because they draw attention to themselves by only existing for this one non-story related purpose and become super distracting.
Also, it is kind of unnecessary because Doom is a family name in Dutch and German, and it would not be implausible for a Romani family living in a Germanic or Scandinavian country like Latveria to have that name. Simply going with that and having the actors pronounce it with the appropriate accent to make it sound natural would in all likelihood be a much better fix.
But even if they didn't want to go that route, they could find a way to "explain away" the silly name in a way that would actually serve a purpose in the film. Here's an example:
In "Madeline," the series of French children's books about the titular resident of a Parisian Catholic school, there is a character named "Lord Cucuface," the uptight chairman of the school's board of directors who's always ruining everyone's fun with his strict rules. He has a silly sounding name that a small child might come up with to mock an unpleasant authority figure, which fits his role in the story well. In 1998, TriStar pictures made a live action adaptation of the book series. The film had a slightly more grounded feel than the dream-like stream of consciousness vibe of the books, and so a character named "Lord Cucuface" would feel out of place. What they did to get around that is that they changed the character's name to Lord Covington, and had "Lord Cucuface" be a derisive nickname that Madeline calls him behind his back. This works, because it serves a purpose in the story. It established Madeline as a troublemaker who does not automatically respect authority, it established what the students of the school think of this intrusive bureaucrat who is always ruining their fun, and when Madeline's teacher accidentally called Covington "Cucuface" while talking to him near the end of the film, it shows that she has decided to side with her students over her boss.
Now, of course, the Madeline film is hardly Critereon collection material and they probably made other choices in adaptation that didn't work, but the point is that they worked around an aspect of the source material which they felt was too silly for the film they were trying to make in a way that actually served a narrative role.
Now, it is entirely possible that the makers of this film are in fact doing that with their take on Doom, but on first impressions it doesn't seem like that to me and I can't imagine what narrative or thematic role the internet handle will serve, and if they aren't changing the name in such a way they probably should, because things that don't serve a purpose in a story shouldn't be in that story.