That’s not so. It is primarily to an person to be self-responsible, but to argue that it is no one else’s burden is wrong too. Part of the burden of life must be shared.
It is no one else’s burden unless you bargain for it and pay for it. People aren’t responsible for you, not even your parents once you become an adult. You can purchase responsibility with money and other barter but no one has a duty to look after your needs unless they voluntarily assume it in a contractual relationship where the duty is valued and somehow paid for accordingly. You might counter with “tuition is paying for a course”, and it is but only to deliver the advertised content of that course. If you want the universities to assume a higher responsibility towards the students, the students have to bargain for it ahead of time.