That character is not our Coulson. He's Principal Woodman as played by Clark Gregg. The real Coulson is cool and fun; this guy is just a stock rigid authority figure for the teen heroes to rebel against. He's even more out of character than that show's version of Spider-Man, who's the same snarky, irresponsible teen hero that Man of Action write in every one of their shows. I mean, seriously, Spidey is the last character it makes sense to write as lacking responsibility.
I thought he was fun in the last one with the Beetle but that's my only experience with the animated version.