One could do that and I, like Prof Giovanni , have done analysis of address growth. It is fraught with multiple difficulties; it also behaves as a power law but really a family of power laws with indices considerably different depending on the size of the Bitcoin balances. A lot of addresses are collective for exchanges, custodians, ETFs etc. Not individuals. And second layers further muddy that analysis. Perhaps you would like to analyze yourself; large addresses > 1 BTC hold 93% of all BTC.

My S-curve is an attempt to understand in orders of magnitude how far Bitcoin can go over decades as it becomes a more and more important store of wealth in competition with gold, currencies, stock markets etc.