Can someone shed light on what the "little-known procedure" is they're referring to?
If I remember correctly, this procedure was specifically described in older 737 manuals, but had been dropped more recently.
You unload the stabilizer by pitching down for a few seconds so that you can trim it back somewhat.
However, that is not something you can do close to the ground (you lose altitude, obviously) and the "vomit comet" ride won't be appreciated by the passengers neither.