Usb hub

The answer is yes your PC will not look for any previous drivers to work the printer, but the USB ports on the motherboard don't work on the printer driver, they work from a usb controller, which is where the problems can stem from them not liking hardware change.
Its not a software driver issue but a connection issue, i have it regular.

Did the pc say that it found new hardware, then continued to install drivers and then informed you that your hardware is installed and ready to use.(pop up on task bar)

If you put your printer into another usb port the PC would need to find the drivers again, it does not know that your printer has already been set up in another port.

But you must install both printer drivers ready for when you plug them both in(one at a time.)

I'm sorry, but i'm sure it's as clear as mud.