Language is fluid. The thing that was "right" to say 500 years ago wasn't right 100 years ago, and what was "right" 100 years ago wouldn't be right now. There are clear arguments for why encouraging people to think about the gendered language that they use and how it perpetuates gender roles would be beneficial in combating sexism. The arguments for maintaining existing language because it is currently the most popular tend to be pretty thin.
When you move into how people feel are we introducing inequality? People feel at different rates. Some can go into a rage in an instant while others can be a rock. Are we rewarding the primate brain over scientific obvervations when we choose to accept personal feeling as the gold standard? Should we be encouraging one over the other?