There are plenty of deeper moments in The Clone Wars that aren't all about lightsaber-swinging. But you'd have to actually watch it to see them because they rarely put them in the trailers.

I wouldn't put it on the same level as the Dagobah scenes from The Empire Strikes Back, but saying that The Clone Wars is solely about glowsticks and posing as a team because shit just got real is doing the show a real injustice and makes me feel like you've only seen the trailers or just a couple of the episodes from Season One (the show doesn't really pick up until Season Three).