Standard (OLS) Regression for a *Binary* Dependant Variable?

Evidently, the question is not as crazy as I likely would have assumed 40, 30, or, perhaps, even 10 years ago. In a widely-discussed draft paper (click here), Logistic or linear? Estimating causal effects of treatments on binary outcomes using regression analysis, Robin Gomila (Princeton--(grad student) social psych) makes a case for OLS. While Andrew Gelman (Columbia--statistics) is among those who disagree (here), he also recommends alternative parallel suggestions and approaches. To the extent that the Gomila paper is partly motivated by the sometimes "muddled" interpretation of coefficients after a logistic transformation, my quick sense is that altering the empirical strategy risks a potential over-reaction.