I knew when I made that post that someone would disagree with me, lol. But I did it anyways. Silly me, lol.
Here's the thing. Yes, in theory, your approach should matter. In practice, I've found that between nobody really liking to be intimidated, NPC's who think they are "tough guys", and the fact that if you don't kill the person you intimidate, they'll basically hate you forever, that Intimidate is rarely worth the effort.
Sure, you might have a DM who takes a nuanced approach, or let Intimidate demoralize or taunt. But until I see that regularly (and the rulebooks actually say that there's an advantage to using Intimidate vs. Persuasion) in games, I don't see much reason to change my opinion.
I will however, in the interest of fairness, amend my statement.
"Intimidation is inferior to Persuasion in every way- except possibly in your game."