While Amy is an actual physicist, it’s unclear whether Cheryl is an idiot or insane. I mean, she’s certainly insane, but that can make say and do things that come off as incredibly  stupid. At times, though, she appears to be quite intelligent and well-educated.
Does he though? We see Hermes, filing, holding meetings, firing and hiring people. He basically is running the business for the professor as well as stamping some forms. We don't ever see or hear of him doing anything with accounting or balancing the books.
Also, both are ambiguous with what time they're set in: Futurama in the future, Archer likely in the 60s/70s, but both constantly referencing current events and technology.
I think archer is set up at current time, as for Futurama it is inspired by current events to make it more relatable. Though the last season (on Hulu) feels like it was done by the writers out of laziness. Not sure if they got paid less, or expected it to flop, but feels like less effort was put than usual. Though I did love the last episode, I guess because it was written by David X. Cohen and he didn't do the same.