Getting back to the thread title............
Just checked the JSP552, and it's only on PAR and SRA that the controller asks for checks. Why? I take the point of high workload single seat jets, military aircraft coming back shot up etc etc, but supposing our hero decides to do an ILS, or recover visually. He still has to carry out his approach and pre-landing checks, but now apparently nobody has to remind him. Where's the logic?
And how precisely does the request for landing checks act as a form of speed control? It has already been established that different types of aircraft require different types of checks at varying points on the approach (just look at a selection of pilots notes). So just because a Tornado might drop the gear and flaps and lose a few knots, doesn't automatically follow that the same applies to a C130.
I rather suspect that it's the old military system - we teach it because it's in the book, and it has to be in the book because we teach it.