Rude is known to be obedient and attentive, doing what he's told without question (at least outwardly). He has a strong enough barrier to separate his Feelings from his Actions, and similar systems in place for situations such as this. When he ought to dismiss himself from a meeting that has concluded, but is compelled to stay until he says what he needs to say to clear his conscience of specific burdens before he takes his exit. Tseng should be used to it by now. They all should.

On the bright side, there isn't anyone who can force him to do anything he doesn't want to, so it leaves the people around him with little choice but to at the very least accept his overbearing concern.

"I'm aware. I stayed with your corpse while Reno went to collect you, but that hardly has anything to do with what I'm asking."

If Tseng wants to rile him up, it would take more than recent trauma that he's already filed away. The only thing he feels when he's reminded is anger, and not toward his superior despite his hand in deliberately bringing it up. "You don't usually have such a jovial disposition unless you're drunk or sleep deprived, and you're not impaired, so unless you want to try making an argument that an hour in the grave is 5 in the bed, then I'm all ears. Otherwise, promise me you'll get some rest."

Or he'll make you sleep at gunpoint again, and that's not fun for anyone.