When I read that sentence, I immediately thought it sounded like some people were being childish and defensive.
OTOH, a bunch of people got unsolicited error reports for already published papers, and I can understand being initially irritated. This was, by the admission of the statcheck authors, a way to get attention quickly.
My guess is it'll all settle down and people won't complain about bullying once everyone just uses statcheck like they do spell-check.
To answer your question though, I think feelings have everything to do with science. There are many reasons different people do science, and they all stem from emotions. Some people do science out of curiosity, to solve mysteries. Some do science as a means to an end, to gain knowledge required to further some other goal. Some do science to gain social standing & intellectual superiority. Some do science to help others understand how the world works. In all cases, the reasons people are doing science is because of a want, some kind of desire to achieve a goal. Nature and physics will continue to exist whether we explore it or not, we do so because we care, and caring is a feeling.