On the 737 classic too, if you taxi with wing TAI on, upon takeoff thrust application the valve will close, despite the switch will remain on, and the disagreement light will illuminate (bright).
Upon lift off, the switch will trip off, the disagreement light will extinguish.
Then it's up to the pilots to turn it on again, and as generally Wing antiice is used as a deicer instead of an antiicer, there's no hurry to do it...