The owner of that PC might as well go take a break, and they will quickly tire of it. The lost time will soon pay for additional scanners. For example, you likely share a printer, but you don't put the printer at anyone's desk. Umax scanners used to include similar software, but they don't seem to mention it, I don't know if that is still true or not. The others don't, as far as I know.
Scanners are so inexpensive now, multiple is feasible.
Just an opinion, but it doesn't seem a practical idea. I think the scanner user should plan on using the PC where the scanner is installed. No, I would seriously doubt it. Twain drivers are a hardware interface designed to run the specific brand of scanner, and provided by the manufacturer.