I do hours of mouse work on photoshop using a 30 inch monitor. The sweeps of the mouse are constantly getting hung up by cords tangling against other stuff on my desk top (beer bottles etc.)
It turns out you need a large sweep of the mouse to do the fine stuff in PS.
That is
NOT a reason to suggest someone gets a wireless mouse.
Walk into any graphic design shop and you will see wired mice
PLUS Wacom tablets.
If you're seriously into your Photoshop / Illustrator, no mouse or trackball, wired or not is going to do you any good..... the pros' all use Wacom tablets for a reason.
And anyway, if you need a large sweep of the mouse, wired or not, then you've got your mouse calibrated wrong.