But nothing says you're not allowed to examine all your past experience during each encounter, and reconstruct those same priors.

That wouldn't statisfy them, since the recomputed priors would be the same as the "racist" priors they want to get rid off.

Well, they're rhetoric argues we should completely eliminate priors. Since that's impossible (in fact incoherent) in practice they wind up making an exception for priors that look as little like priors as possible.

Overcoming bias is a strong goal in SJ.

Except that what they mean by "bias" is much closer to what LW means by "priors" than what we mean by "bias".