Earlier quoted context omitted.
"for the modern man" is a very gendered idiomatic phrase unrelated to mankind. https://www.google.com/search?q="for+the+modern+man" Note how all of the results are all about men and manliness, which is fine for gendered products and clothing, but doesn't really make sense for a piece of server monitoring software.
i think whats interesting is that people who use sentences such as "for the modern man" don't think about man as male at all and don't intend to offend anybody. It's only picked out by the ones who feel oppressed by gender issues (which are often males defending females - in fact, genetics also makes us behave that way, ironically.)
You can keep using "man" or not, but I think it's helpful to pay attention.