In the past before computers they would be putting these in files on a large file folder shelving units with colored folder tabs behind a counter and the only real security was a receptionist that would stop you if you tried to interact with it, and they locked the door to the office when they left. If someone broke into the office back then too, your medical records would've been stolen & unencrypted (beyond the illegibility of most doctor's handwriting) and as a society, we were ok with that security level.
Harsh fines are probably the best way to make doctors care though. If they know they risk financial ruin for not securing their records, they'll have a strong personal incentive to remediate their ignorance.
For all you know, they could have had that system too, the article does not say what it was.
But they simply don't care.