I've noticed most Inspiration don't grant any sort of Approval ... Yes I know you get a Reroll and some Exp but it's a little weird that you just Inspired your Companion by doing something they thought was cool enough to get Inspiration but they don't get like a minor +1 Approval ... of course I would love a like +4 Approval for the Companion you Inspired but that might be a bit too over the top with it.