@contrex,
Here, you’ve provided disparate examples of instances where the phrase “at its most” or “at its (superlative)” is used. Some of them are similar to the one oristar provided such as “at its most tasty,” “at its tastiest,” “at is most fundamental,” “at its most excruciating” and “at its most basic.”
However, you included ones that follow what I’ve been pointing out, that the phrase is typically grammatical (as compared to the idiomatic uses you’ve illustrated) when the adjectives describe something else in the sentence, e.g. a point, as I previously suggested, or state or level, as you did, such as, “at its most potent
the closer the prefix is to the verbal root,” “at its most active
when short of wind.”