The wrinkly finish, I think, is a combination of surface oxidation plus intermetallic growth. I wouldn't recommend it for anything requiring strength or flexibility. Fe-Zn intermetallics, like most, are brittle. (Curiously, Fe has a large solid solution range, i.e. capacity to dissolve zinc in it, analogous to brass being a solid solution of Zn in Cu; I'm not aware of any application of such alloys though, and I'm sure they're a bit of a pain to make, for obvious* reasons.)
*Obvious to anyone familiar with zinc's boiling point, that is!
Also, I don't think there are any Zn-ZnO mixtures, nor much if any solubility at standard pressures, and below ludicrous temperatures. So, no suboxide thing, just how the surface tension and bulk diffusion happens to crinkle up.
Zinc citrate is water soluble, or at least modestly so, so can be washed away. Anything that doesn't remain is either metal or more oxide (or other insoluble contaminants).
An anisotropic etch + electropolish process would probably give a more consistent and durable roughness for purposes of lubrication and wearing.
I suppose that more or less describes a black oxide or phosphate finish on steel, give or take how much the roughness can be controlled.
There's a zinc phosphate process as well, which perhaps has similar surface microstructure.
Mind that zinc is a soft metal so the asperities of such a surface will wear down particularly quickly; I wouldn't think such a surface is suitable for, like, crankshaft bearing journals, but maybe where less pressure and precision are required, it would be fine.
A rough surface of a tougher metal, like bronze, seems feasible. Oilite(R) is an oil-impregnated sintered bronze product; the surface of which will be largely smooth (the wide faces of grains cut smooth by finish machining, or wear), but which is marked by a network of pores between grains (supplying oil by capillary action).
Tim