Not yet. It's on my "to get around to" list. Modern warfare is not a genre that really sparks me, entertainment wise, so it hasn't felt pressing, even though it does look good from what I've seen.
Didn't find Bloom problematic in Kingdom as he was played as more of a scrappy little survivor than a war horse. Didn't find him lacking in gravitas, he just had gravitas of different sort than, say, the Liam Neeson type. As I mentioned before, I was impressed with his shell shocked/haunted act. As someone who's been through that kind of thing myself I found it to be one of the more identifiable depictions I've seen by an actor.
He did seem lightweight in Pirates, but that series is hardly to be taken seriously anyway. Almost everyone in those films was comically lightweight, and a protagonist who looks straight off the cover of a YA romance novel was in good company as far as absurdities go.