Very late to the party on this, but this post caught my eye when flicking through pages. To play devil's advocate, one could argue that all parties have paid
too much attention to the NHS, rather than neglect it, and the over-zealous regard for the NHS has held it back from the transformation it really needs to address some of the deep structural issues it faces. Labour pumped money in at record rates between 97-2010 and the Tories ring-fenced the NHS in real-terms while cutting other Departments by up to 30-40%. Labour introduced various top-down reforms to try and improve the current system, and the Tories introduced the infamous Health and Social Care Act 2012.
I think the real problem is that people care so deeply about the NHS - which has been reflected in national politics - that any change has been limited to pumping in cash, alongside top-down reform that moves around deck-chairs instead of introducing radical change. Real change would involve closing down lots of the poorly equipped district generals, federating GP surgeries so you don't have single practitioners or small surgeries, in doing so allowing people to get to specialists sooner.
There are pockets of examples where the NHS has been brave and centralised services - stroke services in London being a good example. Turns out that closing down loads of poor services, and improving good services saves money and saves lives. Don't take my word for it:
https://www.england.nhs.uk/blog/major-changes-in-stroke-care-can-save-lives/
Problem is, as soon as you try and close down a poorly performing A&E or maternity unit, you get all sorts of NIMBYs up in arms and local politicians and MPs fighting closures too, all to try and win votes from the uninformed who think its better to have something rubbish 5 minutes away than travel 30 minutes to a world class centre.
Sorry, not Brexit related, and quite niche, but thought it was an interesting and different perspective.