In recent years not one of my printers has been on the net, whether it's a printer on a standalone PC or one on a network.
The same applies to printer utilities. With driver bugs I'll download an updated driver, which these days is often in the form of an executable, and I'll block internet access before running it.
I take the view that printer updates include user-unfriendly afterthoughts that manufacturers have since dreamt up to further line their pockets at our expense. I always assume that manufacturers will slipstream crud and spyware into driver updates.
As for HP, I'd never buy another HP product let alone a HP printer, the last printer I bought would have been around 2005.
Why do people still buy HP printers when it's so widely known that to do so is to buy a 'lemon'—nothing but a pile of trouble?