I am a staunch republican and a few years ago, was invited to an invite attended by Princess Anne.
I am of the opinion that I do not crouch before any other human being, so yeah, whatever.
We lined up, Anne came along, shook hands, had a nice chat, It was all fine (she's very nice and considerably smaller than you think, btw).
I was roughly in the middle of the line and everybody had done the same up until then, until one woman, who was at the end of the line (and so had watched what everybody else had done), suddenly sank into this bizarre full Regency-style curtsey.
I'm not sure who looked more horrified - Anne or the rest of the line-up (I've since read that she hates all the formal protocol stuff, so probably her, in fairness. And, for what it's worth, even as a republican, I quite like Anne. She can stay).