https://arxiv.org/abs/1508.02421v3 (updated, 2017)

They claim to fix the criticisms, see the section "The Bayesian arrow of time."

Who knows how well they did though.

As far as I can tell they're still making impossible assumptions, because certain Bayesian problems can't be calculated under a certain amount of energy, and some can't be calculated at all while embedded in spacetime (excepting time travel, and sometimes even then).

I think it's necessary to increase (on expectation) the entropy in a closed system when measuring, unless you take measuring to be magic and not a physical process.