At great risk of being told I have no sense of humour / am overly sensitive / am seeing sexism where there isn't any....
The sexist stereotype of men in the cartoon is one of strength and capability. The sexist stereotype of women in the cartoon is one of weakness and sexual servitude. The male character implies that these stereotypes are equally harmful, which is - ahem - open to debate.
In the cartoon, the male character rejects the request for help in about the most offensive way he possibly could, and then uses the argument that the female character was being sexist to justify his rudeness.
No, I'm not offended by it. I can't be arsed to be offended by it. But some people seemed be asking why anyone might be offended by it, so I thought I'd explain one possible interpretation.
Obnovious, though, is truly brilliant.