@Matisser absolutely. Those universities which you identified as doing well for research are also the ones whose graduates do best further down the line at professional exams. Only Glasgow from your research heavy list isn't in the top 10 for passes in the Royal college exams.
All students graduate with the same degree, set by their own institution . Almost invariably they all pass, although the degrees aren't classified. At that point they all have the same qualification. @PurpleFairyLights says that she thinks that all medical degrees are equal, but that is not the case. When junior doctors sit their professional exams, which are national and notoriously difficult (In order to maintain standards) there are differences between the pass rates of graduates from different medical schools. The ones who do best at MRCS, FRCA, MRCOG, MRCGP, MRCPaeds and MRCP :
Have high prior attainment
Attend a highly ranked university ( this is obviously linked to the prior attainment)
Do an intercalated degree.
The graduates from more highly ranked medical schools also have fewer GMC sanctions.
It is neither snobby not elitist to point this out, although that is almost certainly what I will be called. We have to stop selling the illusion to 18 year olds that all medical degrees are the same, and that they will progress seamlessly through the system. They may do, and some obviously will, but for others it might be an uphill struggle.
To add, nowhere in this post have I called anyone or any institution rubbish. Mum's need wine is always quick to baselessly accuse me of that.