The PFD is not wealth distribution because it does not come from tax payers, which is why it boosts the economy. The money comes from the Alaska constitution granting the citizens of Alaska the mineral rights to state land. Back when oil was being pumped out like gang busters, someone had a brilliant idea of investing all the oil profit into the stock market as a huge principle, and then pay out the interest made from the principle to the Alaskan people, as opposed to simply cutting them a check for their share of the oil profit.
Long story short, the money IS ours, not the state's, because Alaskans (not Alaska) own the mineral rights that made the principle for the PFD. We are getting the interest from our share of the states minerals, that's all.