Taskmistress:
Darkstar taking charge.
Sure, but he is supposed to be the field team leader. Kevin isn't perfect and right now you're seeing a manifestation of his imperfection. Kevin doesn't like rich people, especially unearned rich people.
Even now he doesn't really like or fully trust Tony Stark. Making it worse is that when Green Goblin's player was here, Goblin came off as weird and a bit goofy, but not really psychotic as such. Harbinger came off as psychotic, but not Goblin.
So, given his prejudices Kevin is deeply suspicious of Harry Osbourn and very much wondering if Norman Osbourn was the victim of a plot by Harry to seize control of the company.
Basically, Kevin would rather take the team on dangerous missions to steal from murderous criminals than to accept funds from a rich guy that might maybe have some strings attached.