It can only simulate the written outcomes of intuition in its training set.
For sure, some of those written outcomes are a good guide to reaching the outcomes of intuition.
But the likely uncloseable gap is that some intution is unspoken, literally felt by the brain's default mode network and by parts of the prefrontal cortex.
LLMs basically never shower, do the washing up, kick their foot in the dirt while sitting on a park bench with a coffee: the domain of the default mode network. And they never sit frustrated looking at things, guided by their long experience, with the itchy brain feeling that there is a solution before they can even say the words.
A lot of this stuff happens to us deep down, way outside of the reach of words. And as a result, some aspects of intuitions are just never described in words.