Of course DS9 is more cerebral. It follows numerous intelligent threads, utilising a large cast of disperate characters and covered war, political intrigue, espionage, terrorism, racism, religion, post-occupation relations and pulled at a myriad of other fascinating strands.
It also looked deeper into the nature of Federation economy (which I personally liked a lot).
The idea that anyone would accuse it of being the least cerebral is hilarious. TNG is the loveboat in space, Voyager is painfully episodic and the less said about Enterprise, the better.