Hi and welcome:
Interesting article, and a good one to file away for future reference. However, it doesn't address "he drop down list that occurs in the "File name" dialog box when saving downloaded files."
I'm still trying to fathom what the issue is there and await clarification from the original poster.
Some of my work files have names that are to be kept private according to HIPAA regulations.
I just want to know how it can be done.
If this is your work computer, then I respectfully suggest contacting your in-house IR/IT/InfoSec staff for further guidance.
If this your own computer (e.g. your own unencrypted laptop) on which you have HIPAA-sensitive data with PII (such as medical records or portions thereof), then you may already be in violation of HIPAA, depending on your employer's "BYOD" security policies.
The penalties for violating HIPAA rules are substantial, even when the violations are well-meaning and unintentional. The Feds do not mess around with this at all.
This applies both to individuals and to organizations. It can be very complicated.
As such, no matter what it is you might be trying to do, I respectfully suggest that you consult with your IT professionals for further guidance -- for your own safety and for that of your employer and the patients whose data are involved.
Just my two cents and worth less, as a friendly suggestion,