Gen Ties. But where will these checks end?
You are pre-supposing the student will eventually fly a retractable gear aircraft (otherwise why check gear down and locked by your reasoning?)
As far as I am aware, any aircraft that has a retractable gear has also a variable pitch propeller and probably has cowl flaps. Some even have an auto pilot. Should we now teach the student on his Tiger Moth, Chipmunk, Cessna 150 or Warrior - not only to call gear down and locked but additionally gear up and locked after take off - pitch control back to ficticious climb RPM, cowl flaps closed in the cruise?
Then downwind we teach gear down and locked - auto pilot disengaged - pitch full fine on late final. Teach him to say aloud cowl flaps open after landing, too.
If 50,000 RAF and Commonwealth trainee pilots who learned to fly on Tiger Moths and Stearmans, without being taught by their instructors fictitious checks like gear down and locked - then surely they cannot all be wrong. So where did all this change?
In my view there is no justification for teaching false check items in any aircraft