I like old doctors who still use pen and paper for medical history. I don't like the idea of my medical records being stored online. Unfortunately this is the exception and not the rule nowadays. The same goes for imagery, X-Rays aside I don't remember any exam that didn't go straight into an online system.
1. There are legal incentives (in the US at least) for doctors to use electronic health records, EHR. Providers that don't use EHR are penalized for it when it comes to Medicare/Medicaid.
2. Imaging PACS (Picture Archiving and Communication Systems) allow radiologists to read images from multiple different facilities from one location, including smaller/rural hospitals, and at all times. The alternative is to require physical staffing by radiologists at every single location, which is obviously much less efficient.
I agree there are tons of issues with the quality of cybersecurity, especially in the health system, but saying "I just want it all on paper" is throwing out the baby with the bathwater, not to mention basically impossible at this point.
