Hmmm I sort of get what you mean but I have two thoughts
THe first is that I, along wiht DH are responsible for them and have a huge say and influence on how we shape them and their attitudes.
I expect them to have manners and when they fall short on that they are bloody well pulled for it.
I will give them what ever I can but when there comes a sense of entitlemement again they are given a reality check and so on.
My other thought is my children represent me and DH.
Now I got critised for this statement until I backed it with the explanation of how my kids behave and look in public is a reflection on how DH and I have allowed them to behave and people do judge on that.
How many times have you thought if you have seen a wayward child and thought 'what are his/her parents thinking' or if you see some teenagers doing some anti social behaviour how many have thought ' Don't their parents know where their kids are, I would never let mine do that'
If my children go out in ill fitting clothes dirty clothes it could be argued it is their choice what they wear and I don't own them they can do what they like. (DS2 wouldn't notice if he never had a bath from now until Christmas) I care! I'm bothered.
So no you are right seeker I don't actually own my children but I have a big enough stake in their welfare to be able to make demands on them eg Be home at a certain time, don't do a, b or c otherwise there is a penalty as that behaviour is unacceptable.
However in terms about what they should and shouldn't be studying to a certain degree I couldn't care less. DS1 doesn't go to uni. No pressure as long as he is not a NEET that's fine.
DS2 does, as long as he studies and it is what he genuinely wants to do that is fine.