Why do vegetables freeze in the vegetable drawer?

Have you put a good thermometer in the refrigerator, let it sit there for an hour or so without opening the door and then checked the temperature? If you're near 32 degrees, you've found the problem. Temperature uniformity is usually a problem in refrigerators...thus the fans, but ideally the temp should be in the mid 30's (34-38 degrees) rather than low 30's or you'll be freezing someplace

Solution #1 could well be one of the problems, however it is problem that can show up with certain types of produce, from time to time.
The crispers are at the lowest part of the machine, and thus the coldest area.
The complaints seem to come more often when the machine has light actively and colder temps in the kitchen and the cold air stratifies to the bottom.
The thermostat as it ages wears internally in a manner that causes a given setting to run colder albeit slight than when it was new.
Setting the control a half number or letter warmer, just may be enough.
I have had many old machines that although they ran fine had to be turned warmer to the point where they couldn't be set any warmer, yet still had a tendency to freeze. In that case the only solution was a new control.
P.S. your thermostat may have an internal calibration screw to compensate for altitude. This calibration screw can be used to adjust for a warmer setting if necessary.

thermostat may be faulty