I have to be honest, and I can see that I'm in a minority (even a lone voice so far), but I'm not a supporter of a blanket veteran ID card. Unfortunately, I find that some people will inevitably expect it to give them privileges that they are simply not entitled to any more.
I remember when the RAFA "proof of service" cards came in about 15 years back, we had one gentleman produce one at Wyton and he (quite angrily) stated that it should entitle him to visit any RAF station he liked, unescorted, purely on the strength that he used to be in the mob, and that he wanted to look around. We did get a few of those annoyed RAFA card holders that mistakenly thought they'd been issued with a kind of new civvy "1250".
Personally speaking, I left recently after 22 years and now earn a good living in aviation working for a civil company. I don't expect any further access to any RAF station based on past service. I expect that if I have to visit on business, I will be escorted. I'm not interested in a veteran ID card because I don't work for the RAF any more...
Futher, I can't see why I would expect special treatment from certain vendors because of the company I used to work for. I used to get 10% off at Cotswold when I was in, very handy it was too. But I accept that I'm not in now, I work for another company and I don't see why Cotswold would give me a discount based on what I did in the past.
No civvy business owes me a living or a discount based on my previous employment, and no RAF station should expect me at the gates demanding entry. And I'm still not quite sure why I'm in a minority in that view.
The medical stuff I can empathise with by the way.