I've never tried it, so not sure the right answer. If you add weight to the insert I assume it goes deeper into the arrow shaft? How far? A regular insert is what, maybe a little over an inch long?
I could see where if it ended up making a longer portion of the front of the shaft stiff it could have some affect. Seems to me if that were the case the part of the arrow that would be subject to paradox would be somewhat shorter, and a shorter arrow will act stiffer. Keep in mind, this is just a guess from a feeble mind, and I might be way overthinking this, but maybe something to consider.