I have to say that’s probably more than we would do, but we do tax and insure her car.
DD is 20 last year at Uni we paid for her accommodation (£8,500) and she kept her maintenance loan - minimum amount - so around £110 a week. It was easier as that goes into her account direct.
She has a trust fund we set up for ‘education’ years ago when she was born, so that pays for books, extra dance lessons etc. otherwise we would pay those.
As she has a car, we give her an extra £100 a month for fuel, hone is 4/5 hours away, so she tends to use that for running around locally and getting to matches for her sport.
Apart from that, she has to budget, but I think that’s enough, if she’s out partying then it comes out her own money. Family send her the odd £40 or so now and again.
However. She spent all summer working away and saved around £1,500 and works for a company occasionally at weekends near Uni and that can give her £100 or more.
edited to say DD uses Monzo for her budgeting as she can keep different costs separate, making it easier to see what’s going where.