his is the age old argument. Does it matter, no.
Some HR departments want a such an such school, others don't. At the end of the day, the licence is the same, I would be more worried about right to work in Europe or not.
The UK, well it is in for a very rough ride.
Choose the school that gives you the best value for money, you will need to save as much as you can, because it will be a while before you get a job offer.