I think prettymuch anything they could do would be better than paper files sitting in unsecured rooms protected only by people's sense of individual decency; or worse, no files at all.
Maybe your local dentist is like this, but almost all 'large-ish' hospitals are totally digital these days. The compliance rules for patient data safety and security are really crazy too, I would not be worried. That said, paper is in fact more secure in general, as it is very difficult to just 'grep' a filing cabinet, move several of them in a few seconds, or ransom-encrypt all of them before anyone notices.