After my first comment (telling that mail2print is deprecated), I wondered and removed web services from mine.
The printer disassociated from my HP account, its e-mail address is removed, all on-device "printables" functions (which is dropbox, google drive, Scan2Mail, QuickForms at this point) removed too. It completely became a dumb, networked printer with an LCD screen (which you can setup your printer and whatnot).
I'm almost sure that it addresses concerns of the GP, because the device became completely unaware that there's something called an HP account, yet stayed fully functional as a networked inkjet MFP, incl. HP's smart app.
BTW, if your printer is in working order, and discoverable over local network, you can use the smart app without any account. Scanning and printing works, at least.
I re-enabled the services and the functions I mentioned as deprecated started to work again. I think something broke configuration-wise while HP was migrating services.
Then you can re-enable it if you prefer later.