In a general sense, I don't believe so. While "there exists an experimenter" is an inherent assumption in many deductive chains, there's no attempt to use the existence of the experimenter as a prior in a Bayesian calculation. The logical flaw in the DA comes when you say "I, the reasoner, am likely to exist at a random point in the history of humanity", because the reasoning could not take place without your existence and therefore the hypothesis is not-falsifiable (no matter when in the history of humanity the reasoning occurred).