Totally agree with you. Unfortunately it's not a problem with the medical providers, it's a problem with the medical devices. Anybody who works in the healthcare vertical will tell you just how bad medical devices are to work with from an IT perspective. And that is part of my original comments.
In your case, I am not sure I have an answer for you, unfortunately. The public Internet is what it is, mostly best-effort. Your applications and use-cases certainly deserve better than that. I'm not sure how to achieve that as your industry shoves more and more activity into the public Internet domain, for one reason or another.
I don't know what it's going to take either. A general shift in mentality from the vendors we use I guess. I'm not sure how you get a bunch of medical providers to tell these companies they need to fix their stuff. You can't exactly use your wallet to force change either. There are only a handful of vendor options out there so there isn't a ton of choice. It's not like you can buy one of 50 different models of CT machines or EHR systems.
Generally speaking it's not an issue. It's just in crazy times like these where, if congestion on the public internet gets too crazy, that certain platforms might need to be deemed "unnecessary". Is playing Fortnight a right? Is streaming a movie in 4K a right? In cases like San Francisco they have decided that leaving your home for anything other than work or medical care is no longer a right because you're now infringing on other's rights by potentially getting them sick. Maybe 4K Netflix fits into that category if you're causing problems for first responders and hospitals trying to save lives.