The point of all this discussion of rationality is to actually achieve truer beliefs and more effective actions. It's not some arbitrary social fashion; there are actual criteria of success. It is for this reason that it is written that rationalists should win. If some particular ritual of cognition---even one that you have long cherished as "rational"---systematically gives poorer results relative to some alternative, it is not rational to cling to it. The rational algorithm is to do what works, to get the actual answer---in short, to win, whatever the method, whatever the means. If you can detect a systematic mistake in your thinking, then fix it; if you can see a better method, then adopt it.