There is an interesting social phenomenon that can be considered real irrationalism and ideal rationalism. The rationalism is ideal because the people that subscribe to it don't fully understand it and the real is irrational because what occurs are false appeals that seem rationational based on the ideal.

This kind of thing happens in many situations, but one I noticed is the idealization of doctors and the concepts like 'orders', 'prescription', 'opinion', 'prognostication', etc. There's many. The appeal to authority is fallacious, but the rationalism is not a logical one, but following rules. That type of rationalism is just an idea.

In the real the i. false appeal to authority legitimizes opinion, ii. creates prescribed actions ( in medicine ie. pharmaceutucals. How to think ie. 2500 words with citations), iii. legitimizing opinion as valid, and iv. prognostication as a deterministic expectation of anything a doctor can make into a disease (ie. daydreaming, being alone, paranoia). A deterministic expectation is a cornerstone of modernist thought. The real is irrational because all of the appeals are false:i. authority, ii.opinion, iii. someone telling you how to think is against the spirit of logic iv. Post hoc, ergo propter hoc. A deterministic expectation is considered a self-fulfilling prophesy and deludes some into thinking there are prognostic powers. Usually the outcomes of things are statistical or people organize to create the outcome.

The example given here is just for discussion purposes, in a hypothetical "what-if" (if things were actually that way). It adds another level of rationalisms to realisms.