I can see using Bitcoin as a primary wealth store, similar to gold. I agree, it would have most the same social features, which seems problematic since none of that is really in line with Bitcoin's original political vision, but I'm not sure Bitcoin's original political vision is anything more than a piece of nostalgia cherished by people sitting on the periphery of the contemporary Bitcoin economy, anyway, so maybe that's no big deal.
The bigger problem I see with Bitcoin relative to something like gold is that it has some troubling practicalities. It's theoretically much easier to steal vast sums of Bitcoin in one go (because 1,000,000 BTC wouldn't be quite as subject to conservation of momentum as a tonne of gold bars would be), and it's definitely much easier for vast sums of Bitcoin to accidentally poof off into a crypotgraphic pocket universe where nobody can reach it anymore.
Rather than having 50% distributed in just the first 4 years, and only crumbs in later decades.
Gold is much more like the former.
A stable store of value is always going to socially/psychologically encourage hoarding and other human traits that lead exactly back to inequal distributions of value ("wealth").
A truly egalitarian currency would need to focus on the velocity and acceleration (the current of the currency) curves far more than the value at rest, which likely would be an afterthought.