Nice video Dave!
Phish, Dave's video shows how many times, the square in the porcelain tank is manufacturered a bit too large, so when you insert the toilet tank handle, it will rattle about an eighth of an inch in all directions. He uses plastic copper pipe hold downs/supports, which are about the same thickness as the eighth inch gap in the porcelain. By cutting the wings off the supports, he inserts them into the gap between the handle and the porcelain. Once the handle is tightened, there is no more rattling from the loose fitting handle.