Op what I think you are missing is that nowadays the amount that a student receives by way of maintenance loan takes into account a supposed parental contribution.
So the maintenance loan is (using entirely hypothetical figures for ease of maths) £8,000 if parents earn under £25,000.
Then they will deduct say £1,000 if the parents earn £35k
deduct £2,000 if they earn £45 etc (as I said merely hypothetical figures).
It may therefore be the case that your DD goes to uni with no parental contribution but already £3-4k down on the student sat next to them.
Anecdotal experience from my 2 older DSs and friends' DC and mumsnet seems to suggest that the maintenance loan may just about cover rent/halls but in many cases it doesn't.
I am also mystified as to why you would fund those degrees you deem worthy at institutions you deem worthy. so you will be telling your child you already consider them to be a failure if they don't meet your expectations.
My oldest went to an ex poly and did a degree I suspect may not be on your approved list but got a job on a graduate programme straight from uni where he earns twice the national average.
He was able to concentrate on his studies because we did pay his rent for him.
I think you are being very blinkered in your approach at this stage and hope that by the time your children reach A levels you will appreciate that times are very different from when you went to uni as they are for me now 2 of mine have been through/currently are at uni.
Why would you want your kids to be restricted to what you and your friends are doing and not aiming for what they want to do with their lives whatever it is.
The best gift you can give your child is education.