No Yea your right...bit if she brought up the fact she didn't respect the prince or the fact she legit was crossing his personal space on free will. Would still get her in trouble
Not personal space issue.
For example, in this case. Serena and Scaranet can talk because he had greeted them first, he want to talk with them. If he only walk close and just stare at them, they would be troubled because you can only speak to royalty when allowed. Rosemary acts like she’s on equal status by acting so casually, and calls from behind him rather than doing it face to face.
The customs sometime also shows up in other story,
such as this.
In this one, it doesn’t seem to extend to among the nobilities.
Serena was just minding her own business and that idiot proceeds to call her out for not being infatuated with the princes. Wouldn't that be a great thing, since that's one less person to contend with?
In the LN, she accuse "Rosemary" of intentionally acting differently in attempt to make herself stand out. Rather than doing it "fair and square" like the other ladies.
You know, like those Otome series where the popular guy got interested because “she’s not chasing after me like the other girls”.
Also, remember that they mistook Serena for Rosemary. She's never been in the competition because it's unthinkable for royalty to marry a commoner.
Although,
Evan is interested because he felt something dangerous of her. He’s the first prince, so he had his share of meeting assassins trying to get his life. Serena also later understand Evan would be dead already if he’s just some Prince Charming whose only quality is being a nice person. But it seems to be a shared thing among the men close to Serena, they always wonder why a sheltered lady born in such high ranked house gives the air like people who had seen their share of deaths.