My thinking is this. If you added weight by eating alone, just to add weight, you would find out if more weight made you more stable. That would be legal, yes?
If you carried lots of loose change in your pockets or a money belt, could that be banned? If instead of money in a belt you wore medals, or a belt with studs all over it..... yes?
So, just for an experiment, try the weights and see what happens. If it doesn't help... at least you know not to bother getting heavier just for ballast sake.
Whether or not getting stronger helps, would be difficult to prove, if it adds weight at the same time. Is it the strength or the mass?
I have read about archers wearing heavy wrist bands( lead weights inside?) in order to mimic having stabiliser weights. It probably helped build up shoulder strength ,too.
It's just a way that might help find out the effects without having to wait/weight?