It’s very weird to me how many people don’t understand Leia’s character.
She may be the princess of Alderaan, but she’s mostly using that as a ruse to hide the fact that she’s a leader of the Rebellion. That’s why she uses the false accent when speaking to Vader and Tarkin.
She isn’t “spoiled royalty” in ANH, she’s a military leader and the only one of our heroes who knows how to take charge and “save (their) skins”. She’s the only one who even knows where she is, much less what’s going on in the bigger picture. And her rescuers have arrived (by accident) in and old beat-up rat rod.
It’s not like she’s complaining about getting her dress dirty or breaking a nail.

And as for her becoming queen at the end of ROTJ… Queen of what??
I’ve always hated that idea.