"Instead she's rather cold and absent" I expect that's because she can tell that "she's not really the daughter I would've wanted."
Honestly, I'm a bit gobsmacked by you. You say "all my friends wish she was theirs!" Well I suggest you listen to them.
I've just gone and dug out a book from the shelf, a favourite book that your comments on your daughter have reminded me of - "Trouble with Lichen" by John Wyndham (1960). The main protagonist, Diana, has just won a prestigious scholarship, and whilst her father and teachers are delighted for her, Diana knows that her mother isn't. Her teacher is trying to explain why that might be -
"Has it ever occurred to you that when the daughter of a domestic-minded woman chooses to have a career, she is criticising her mother by implication? She is saying, in effect: "The kind of life that was good enough for you, Mother, isn't good enough for me." Well, mothers - like other people - don't care for that very much."
Your bemoaning that she doesn't live nearby and isn't "chatting about marriage/grandkids" - well, yes, you sound just like Diana's mother there. And as for "maybe have/or be studying for a more meaningful job like being a vet or a doctor" - well, you're actually calling her chosen career meaningLESS then, aren't you?
You're taking it personally that what she wants for herself isn't what you wanted, and that will frankly be poisoning your relationship. Because I don't for one second believe she's not fully aware of your opinion of her choices.
In short, your "adult daughter issues" are actually YOUR issues, not hers; and if you want to have any relationship with her (and any grandchildren she may CHOOSE to have at some point) then I suggest you give yourself a bloody good talking to. Carry on the way you are now and she will become more cold and absent, just to protect herself from her selfish and uncaring mother.