Computers generally expect printers to stay connected. In many cases, when you install a printer you assign a port to it. The usual "assignment" is LPT1. With Windows, the "LPT1" port doesn't have to be a physical serial connection like in the olden days. "LPT1" can be - in a really bizarre case - a USB jack.

If you've assigned the printer to the USB port, and if the printer installation gave that port the "be LPT1" assignment, when your computer boots it's going to try to connect to that printer on that port. If the printer doesn't "answer" to say it's there, it's fairly likely that the PnP is going to try to "fix" the connection by installing (re-installing) the printer driver. Even if it doesn't reinstall at boot, when you plug anything into that "LPT1 alias USB" jack, the computer may think someone just flipped the switch to turn the printer on. (Note that this is pretty much a SWAG.)

I will note that I have three HP printers. They all work just fine, but each of them sets up a different set of "unusual" connections. The last "normal" HP printer I had died several years ago of old age. HP seems to have a different mindset about how printers work than is common in the business. I haven't had to contact them recently, but their email support worked pretty well some months ago. It's possible they might have had prior reports on your problem.

If it's really necessary to disconnect the printer frequently, you might want to ask about "how do I use this printer with my laptop at the motel" to get them thinking in the right direction. They may have a driver that will work and will support properly dismounting the printer when you want to unplug it.

John