Very much agreed.
My assessment might be a bit off, but I imagine the aversion has more to do with uninspiring interpretation of results and boring/uninteresting play than the random tables.
GM: “ You meet a beggar on the road. He introduces himself as Alton before he begins pleading with you for anything you can spare, teary eyes as he mournfully rambles about his lost home, his dead wife Agatha, and starving children. What do you do?”
[short RP occurs, party probably gives the beggar some money. Move on.]
GM: “A couple hours pass and <rolls, squints at results and ponders for a moment> you meet a different beggar on the road. This one is redheaded and says his name is Alton. As soon as he introduces himself, he mournfully rambles about his lost home, his dead wife Agatha, and starving children before extending his hands in a smooth, supplicate motion and asks for whatever you can spare.”