Have a separate small travel router with embedded VPN support to connect printer to Wi-fi hotspot with whatever region it wants to see.

It's not HP's or any other vendor's business to know where you are. This is an easy solution to this.

I have a few routers at home with a separate Wifi hotspot each configured for separate country to avoid exactly this nonsense for different services.

Advantage of this approach is you can travel with a small travel router all over the world while feeding each of the service with a consistent country location.

Added privacy is a benefit.