There's definitely an overlap between funny jokes and 'sexual' jokes. The OP seems to have a hair trigger for 'sexist,' to the point where I suspect her co-workers weren't sad to see her leave.
I don't think that the examples given in the blog post are examples of a "hair trigger." For one, it's repeated behavior; even a small annoyance is worse when repeated for years.
If I were one of her male coworkers, and I had to watch that kind of behavior continually, I would quit. I want my coworkers to be able to do their jobs without being tormented.
Also, I think you're missing the distinction between sexual jokes and sexist jokes. There are plenty of funny sexual jokes. There are even plenty of sexist jokes that the joke-teller finds funny. That opinion is not shared by the butt of the joke, and that makes them crappy jokes.