Probably worth noting that anti-seize is basically grease...
So no, it does not wear threads as it is fundamentally a lubricant.
What separates the anti-seize apart from plain grease is that should it dry out or be burned off (by heat), there is a residual component that forms a layer left behind. (This secondary dry lubricant is like powered graphite, but distinct chemically-- usually AL Cu or Ni--not C.
SS parts wear because of galling and galvanic issues with dissimilar metals (in presence of water) left over time in an unprotected state.
Basic advice is to use grease or loctite (if not ansti-seize) when using SS hw.