Interesting the same checks are not required in airline types. You don't see a 737 crew running the stabiliser trim right through the full range of movement as part of the preflight. And that is a huge range of movement. Nor the rudder trim which takes 29 seconds from neutral to one side and same to the other side. Nor the full available range on the aileron trim either. Of course it might be required for a C or A test flight but not on line flights .
Have to disagree - it's in the B737 FCOM, Normal Procedures. Quote: "Trim - check each trim for freedom of movement". If it's to be done properly, then the trim is checked across its entire range, not just a bit each way. Where I flew, that was the requirement, not on each pre-flight but on the first flight of the day and upon a crew change.