The right wing distortion of history might convince other right wingers, but will it convince the historians, to rewrite their history books, change their lectures? Will universities now teach the distorted right wing history? Will historians now rate FDR as America's worst president not the greatest? I think right wingers can stand most history but that FDR thing really gets to them.
So it seems the right wing history posters only purpose seems to be one of giving some aid and comfort to their followers today, knowing full well their take on history will not change any of it. It is simply an aid and comfort package.
OK, so now having had your ass handed to you, to morph into the "popularist" fallacy: Well, most people believe it, so it must be true.
History is a science. There are facts available and people make hypotheses from those facts and those can be tested. The fact is that FDR's New Deal circumvented the natural mechanisms of the market that would have provided for a strong recovery and instead created a bizarre system of disincentives to do the things that needed doing to begin recovery. Setting floors on prices is only one example.
Obama is rehashing that, setting floors on prices of things like wages, circumventing market forces that would have led to higher employment.