More or less. I actually haven't finished the remake of CE because of the fact I got somewhat bored, but I did play it with friends a few years ago and I know the story. I played enough H2 to know the story (though I never owned it) and while it was better than H1, I never got too in to it. Halo 3's story was by far the worst I've played. ODST never got finished on account of it being somewhat dull (and I didn't care about any of the characters, the same issue I had with Master Chief all through Halo 1-3 and the first half of 4). Reach was okay at best, it did better with characterization, but wasn't great by any means. Halo Wars was good, but I never was immersed.
Halo 4 is the only campaign I wanted to go back and continue. I cared about the characters in it and wanted to see the journey through, even if the gameplay of the campaign itself was lackluster (such as that one level where you fly to 3 places and activate things). That being said though, I don't think I'll ever go replay it. It wasn't that good.
^in my opinion.