What is described by the OP was taught to me (But not demonstrated ) when flying a PC6 jumpship, to defeat the classic killer of landing empty with full aft trim and forgetting to set it to half fwd for a full load take-off. Albeit a smaller plane, the PC6 has a full moving stabiliser and is subject to the same problem. This has claimed a number of lives on the dropzones.
Never heard about it on the B737 though.