Leia being princess makes no sense
The origin of Leia being a princess probably simply comes from Lucas and others wanting to make your typical faery tale story, but in space and sci-fi setting. That's it.
However, in-Universe, it doesn't necessarily make any sense.
For there to be a princess, there has to be a king and queen, right? Their child would be a legitimate princess. However, we know that Leia is NOT the child of any king/queen of Alderaan, because she was the 'twin sister'* of Luke Skywalker, daughter of Anakin and (who??) Skywalker.
Why they didn't bother to change the name is another thing that makes as much sense as someone hiding changing their name from 'Obi-Wan' (Literally 'Belt-Doggy' in japanese, considering 'Wan' is cutesy onomatopoeia for 'dog barking', often used instead of 'inu' to mean a 'dog', especially together with the honorific 'chan' denoting something childish, cute, girly, etc.) but to 'Ben', but leaving the 'Kenobi' part intact.
So Luke and Leia were born, and the parents agreed to bring them to two separate planets. How the heck does an alien baby to a whole planet become a LEGITIMATE PRINCESS?! I don't care what the politics are on Alderaan, if it's primitive, archaic and oppressive enough to have a dictatorial, exploitative political system that still uses a KING (otherwise, 'princess' can't exist - you see, cruelty, exploitation, stomping on people's rights and megalomanic dictatorship are ALL required for 'princess' to exist, because that's the ONLY way some family can be raised above people to unjustly, without voting, rule them as king, queen, princess and so on)..
..it definitely wouldn't accept some sudden disruption in the greed-based, unfair manifested corruption that is usually called 'a kingdom' in books. If the whole PLANET is ruled as a kingdom, that's some Empire-grade iron boot right there!
In any case, such an ego-worshipping and arbitrary 'one family-elevating' system would logically never accept some sudden OUTSIDER coming and inheriting the throne and all that power!
Remember, it's not just a throne of some small patch of land, it's not just some tiny country, even - it's the WHOLE planet! It's like someone from another planet suddenly coming down to this planet and handing Trump family a baby, and that baby then being nominated Vice President and handed almost all the political power Trump has, just because some family wants to hide their baby from the dark daddy! (Darth Vader = Dark Father)
What the heck kind of sense does that make?
Also, I still can't understand the choice of dumping Luke to this boring, uneventful, poverty-stricken desert junkyard planet and giving Leia basically HER OWN GODDAMN PLANET to rule as princess!
And yet even that is not enough for her, so she seeks excitement and joins the rebels? And people trust her as a leader? Did she ever have to work as a regular ground troop in her whole life, or did she just jump from highly-elevated position to another, while Luke has to suffer indignities as a lowly farmer that can't even afford to have civilized clothes?
How is that even fair? I guess misandry was strong with these moviemakers even in the seventies.. a man can't be in a position of power, but a woman MUST be given everything on a silver platter.
Who in Alderaan would be stupid enough to give all this power and prestige to an alien baby, though, and WHY would they do it? Especially since she's not thinking of the wellbeing of 'her people', but just starts running around these ragtag rebels.. for reasons? When do 'royal' people ever do stuff like this, except for when they go 'slumming'? (A good example can be found in the movie 'AntZ')
The more I think about Alderaan, Luke, Leia and the decisions people made to separate them not only from each other but Darth Vader, the less sense it seems to make.
Also, why do they keep calling her a princess throughout the movies, when her whole kingdom was destroyed anyway? How can she still retain the title when the structure that gave and maintained that title no longer exists?
Also also, shouldn't she hide her real name and title and assume some false name when she's running around with these 'dangerous rebels'? How did the 'senate' work back in the day and why would Leia's foster parents allow all this anyway? I mean, first they are kind enough to give her a whole planet, and then she thanks them by running away and doing all this rebel nonsense (from the parents' point of view)..?
Then how can she immediately become the leader of those rebels, when she has lived her life as a royalty - how much tactical knowledge or 'rebellious' experience can she really have, as a pampered ruling-class oppressor?
* (what's so TWIN about it, though? I mean, why is it important that they are 'twins', couldn't they simply be any old bro/sis-combo? I know twins don't have to look alike necessarily, but in movies, they usually do, so why this weird piece of oddly specific realism in this space magic fantasy story?)