Deadpan IMO is the best kind of humour.
Though I just realised that it's kinda like puns except applying it to phrases and ideas instead of just words with multiple meanings. It's all about the edge cases around communication, pointing out things that are implied, or assuming things that aren't implied, deliberately misidentifying pronouns, switching subject and object of sentences if the structure allows it.
Not that there's anything wrong with puns, it was just an interesting realization.