Oh yes, just her checking 'is there a limit to your love for me, is there any circumstance that would cause you to stop loving me'.
It's possible that idea might be related to 'mummy and ddady don't love each other any more', thus love can end but also quite possible it isn't.
On your latest post, please don't project yourself onto her. She's a different person. She may or may not have similar character traits and potential - in so many ways. That doesn't mean she'll have the same problems. Her life and her path are different from yours.
It's not so much that negative emphasis from you will be a self-fulling prophesy, more that if you're busy thinking that way, you may not be giving so much attention to what is unique to her and encouraging her development in directions you don't already know about. You might upset her in future, if she gets the idea that you see her as some sort of version or extension of yourself, instead of as her own unique and wonderful person. Teenagers are pretty keen on being unique and wonderful!
Often, we emphasise things we want - and don't want - to see in children, often from a very self-absorbed perspective. We pay attention to evidence we 'want' (or fear) to see and ignore or fail to notice what we don't want to see, or just don't know about. People talk about their child being a potential rugby player or artist or doctor. Gender stereotyping works this way too of course.
They also sometimes talk about dcs liking or not liking school subjects as a reaction to their own ability or lack of (oh, maybe he didn't want to feel pressured to have to live up to my wonderfulness! Oh well, I was never any good at maths, he's my ds all right!), when the child's experience has nothing at all to do with their attitude towards their parent's abilities and everything to do with their own aptitudes and experiences.
I've sort of lived this experience in some ways and remember feeling angry and incredulous with my DM, in my late teens, for thinking my performance had anything to do with her problems - and that if she thought that, then why did she not ensure external support was in place, to deal with the issue constructively, rather than just sit about hand-wringing? It was as if she'd resigned herself to the idea of an 'inevitable' path, thus actively creating that path. Actually, she was good at creating positive practicalities for me, which was why the reaslisation she held this attitude was a shock but it did make me angry - at her making everything about her.