The problem is the mechanics of charisma versus the reality of character builds. Charisma is supposed to represent your personal force, your raw inner awesome. In theory a high str, low cha barb should be the tough guy that's meek and a bit quiet (its a common motiff and one you see in real life, the "gentle giants" that wouldn't hurt a fly even though it looks like they could bench press a truck).
So the super screaming barb that scares the beejesus out of you....he is "supposed" to have high cha.
now in reality, with point buy and the desire to optimize, players don't play that way. Cha is often the "dump stat" for barbs, right after Int. So you have the field of barbs that want to be scary....even though they technically dumped the stat that actually means your scary.
But honestly as long as point buy is king its always going to be that way, so we should just accept that people want to flex and be scary, even if their cha stats "says they should be meek", and so give intimidate to strength. If nothing else it would more differentiate it from persuasion, as both tend to overlap a lot in social situations.