Sloth is less about being physically inactive and more about not doing what you're meant to do. If a man was a CEO of a company but let it go to ruin because he didn't care it would be Sloth, regardless if the time he should have spent on his business was spent working out. In reality that definition of Sloth (and many of the deadly sins) has changed over time, before it was more about not keeping up with your faith, not reading your bible every night etc. Not that this really applies here, other than showing that the idea of these sins takes many forms.
Assuming that outcry isn't because he is envious of their lot in life. A jealous person decrying the greatness of others isn't a stretch.and not to mention that Envy is probably the "pridest" of them all and would be the perfect "Pride"
he can't stand getting mocked by "mortals"
he always states his superiority whenever possible
etc.
Also, concerning Wrath, it isn't necessarily violent outbreaks, as Dante describes it: "The love of justice perverted to revenge and spite." Sometimes wrath is very methodical, something like splitting a man from his closest advisers and giving him a job that he will suffer through.
All of these sins don't have to have immediate outward appearances, the end result is the important part.