Yep, enjoy it. Bedtime is often a moment when kids' brains start to want to process what happened that day and the fact she wants you there with her at that time, to me, shows that she values your presence while she's winding down and processing things.
My daughter is nearly 13 and many, many nights wants me to lie down with her at bedtime. In the dark it can be easier for her to voice a worry about something at school the next day. Or sometimes she just wants to chat for a minute about a new book she's reading or something that made us laugh together earlier in the day. She likes it if I stay while she goes to sleep but she also sometimes says, "Hey, you go watch TV with Dada now, I can't keep you all night!"
Like your child, she is also independent, mature for her age, and likes time to herself as well as being very social. She just likes my company at that particular part of the day, and while she still wants my company, she sure can have it.
Say yes when your kid wants you to stay. She's not crying and distressed, she's not afraid of something, she's just wanting you around, and you know she copes just fine when you're not around, too, so all's well. Enjoy it while you can.