The cues people have for noticing their rationalizations are things they notice before they're done thinking. They have not rationalized; they had a thought that could lead to rationalization or a feeling they associate with rationalizing. And then they stopped. But there was a large enough time between when they started arguing for a conclusion and when they decided to think about it that they noticed their rationalization. Having a reflex to think about a question fast enough compared to the reflex to rationalize can cause someone to not notice their arguments for some answer, then say they never rationalize, or just not rationalize.

I don't relate to anyone's examples of their own rationalizations or have use for the Litany of Tarski except for explaining myself to people who don't think deliberately. I would say I never rationalize if that is the alternative to giving an example of a time when I did because I haven't noticed such an example. But I also know that I am not in conscious control of most of my thought process, and that enumerating potential evidence for a hypothesis looks suspiciously like rationalization, so I would say I do rationalize if I can explain that instead of giving examples. Rationalization can occur subconsciously and not be recognized as a rationalization if it is not allowed to corrupt the whole line of thinking.