Probably you would have to ask
MA about this. And count on honest answer from them... I think depositors have bigger chance for better loots. The question is if they have this chance because they burn more through the system or the system notices deposits and gives some "bonus points" to the ava. I suppose it's rather more 1st option: with deposits you are not affraid to burn some money comparing to times when you do not depo and try to carefully spend your peds.