Probably not.
I have both a "switch strip" with 4 - 5 (?) outlets and a lighted switch; and the lights from both the control panel of the Omega D5500 and the ColorStar 3000 going all the time, and have had *no* problems.
An idea - set an exposure meter to the highest possible film speed and slowest possible shutter speed or the largest possible aperture and see if you get a reading.
I've analyzed "ambient" light (dark processing conditions) nothing but said indicator lights - with the ColorStar - reading to a maximum of 999 seconds, and get only an "overflow" (actually the reverse - an indication of "not enough light to get *any* reading), a blinking display.