Maybe. Skill challenges certainly helps make the odds less swingy which is a nice pro - but has many cons to it as well. I'm not sold they actually make skills as dynamic as combat.
So, can we dig into what you mean by "skills as dynamic as combat" there?
I'm not sure I know precisely what you mean, but what comes to mind when you say that is...
There are a lot of things that we may want to be "dynamic". In a well-run, interesting combat, there's usually a lot of dynamic tactical rules use. The planers engage in a lot of choices about weapons, spells, class abilities, movement, and so on, on a round by round basis, to do hit points of damage to various enemies.
In an archetypical skill challenge, yeah, there won't be so much in the way of tactical rules use, because there feats and class abilities aren't there.
But, that skill challenge scene can still be dynamic. The players aren't engaging with bags of hit points with claws, they're engaging with the narrative more directly. And if that narrative is kept lively, the result will still be dynamic and engaging.
So, if you're a player that really loves the tactical wargame thing, this wouldn't scratch that itch, no. But it can still be dramatic and thrilling.
And maybe more importantly, in my experience most social challenges have not been handled as skill challenges. Maybe that's different for you and others?
Whether they were handled in such a manner historically really isn't the point, though. This is about how one might do it better than it has been done in past experience.