I wouldn't call her a murderhobo in the D&D sense. From the RPG stack exchange:clearspira wrote: ↑Tue Nov 17, 2020 10:19 amAnd we get to see crazy murderhobo Mikey again: as soon as she hears and order she does not like she is ready to go rogue.
Clearly Science Commando Burnham has stable employment, ergo, she can't be a hobo. She also doesn't murder very often. She is rather violent, chaotic, and unpredictable, however."Murderhobo", apparently a contraction of the slightly older term "murderous hobo", is a usually pejorative (but infrequently neutral or affectionate) term used to describe certain kinds of adventuring character, usually in Dungeons & Dragons or D&D-like games.
The murder(ous) part is because these characters primarily solve problems with violence/killing and are typically very quick to resort to violence, often even in situations where that's a really inappropriate response.
The hobo part derives from the American slang term "hobo", which specifically means not just a homeless person, but a homeless travelling worker; the hobo has no long term home and moves around from place to place looking for jobs (often carrying everything they own with them), which is a fairly obvious parallel to a traditional adventuring party who travel the world accepting quests.
I do call her a self-righteous fuckwad, however, because she is as you say. She has a code of behavior she expects everyone else to adhere to, but doesn't realize that A) other people might not necessarily be capable of that level of behavior, for their own reasons, and B) her own code of behavior doesn't align with the kinds of behavior others expect from her. None of that is to demonize having a personal code, however - all that is to say that applying a personal code too strictly generally doesn't work all that well. Some wiggle room is required.
Saru shouldn't have to tell her not to mouth off to a ranking officer in a space navy that A) they're trying to get back into, and B) can probably shut down even her hijinks with a wave of their hand. She holds the rank of Commander, which she worked up to over the course of years. She was raised by a split Vulcan/Human household. She's supposedly a xenoanthropologist, according to the whole 'Your Tilly Is In Another Castle' arc in Season 2. She fucking knows better than to behave as she does. It's a sincere shame that I have to discuss her the same way I discuss Donald Trump.
She should also realize - especially after having been stranded in the 32nd century for a year already! - that the reason that Starfleet is being so "mean" is because they're in just as dire of a situation as all the other places she's been.
Unfortunately, it's not that Science Commando Burnham hasn't observed the state of the galaxy, and that she hasn't processed it. She knows the facts, and still makes destructive decisions, some of which have an above average chance of hurting her along with everyone else.
That's basically the definition of stupid, and honestly is the reason why I consider Burnham the go-to example of how not to write a protagonist. There's a difference between a person with limited understanding, but who has their heart in the right place...and someone who is perceptive, but makes destructive decisions as a matter of course.
Honestly, unless Burnham has acute amnesia, gets joined to a Trill symbiote, or encounters something else extreme enough to make her change her ways, I think the only way to fix the character is for the writers to kill her off. She will just keep dragging down the Discovery story.
And, in the words of Gul Dukat: "And that's sad."