I agree with many things said above.
I have studied physics ( I guess that means I am intelligent) but I do not know much about underground fungi. Somebody with a PhD in biology is very intelligent and profient with nature skill, but even this guy might not know this when his PhD thesis was about lions in the desert.
Having a high Stat value and Profiency increases your chances of success but there is no guarantee. Skills represent the abilities and knowledge of your char to avoid meta gaming, such as the player reading the monster manual.

Prof. Dr. Dr. Mad S. Tist

World leading expert of artificial stupidity.
Because there are too many people who work on artificial intelligence already