Also Germany uses and is already Rolling out a Matrix-based Messenger and S/MIME-Mail with End-to-End-Encryption for Communication between Healthcare Professionals.
So at least for Germany this is not a problem.
More problematic was our prior health Minister who wanted to make data accessibile to OpenAI et al for "research". That's also why I opted out of the electronic health record
https://www.heise.de/news/Lauterbach-zu-Gesundheitsdaten-Goo...