If someone in one of my games wanted to intimidate a demon, I might look at the rules and say "Yep, I don't see anything in the rules that says you CAN'T, except...how do you intimidate an immortal creature of innate evil...?"
You use your imagination.
"Listen very carefully to me demon, I have bound, defeated and annihilated the essences of more of your kind than I can remember. Unless you step aside I will beat you and I will bind your soul to my command. Then, over the next decades, day by day, week by week I will consume your life until there is nothing left of you, until your previously immortal essence is gone, not the slightest part of you will remain, you will cease to exist, a potential existence of forever stolen from you because of this one, foolish choice. So I tell you again. Step. Aside."
/roll intimidate or whatever.
This is a good reply. I don't think you and I are in disagreement, but it does illustrate how an essential part of the game is excluded from PFS play (imaginative interpretation), and how some cling to RAW as though it were religious dogma; as though it is inconceivable that someone could put their trust in a GM.