If your mind jumps to sexual predation whenever you hear the word grooming, you have bigger problems than word choice at work. Do you think these people have these little breakdowns when they see "Grooming products" on a sign at Target, or do they reserve their energy solely for office politics power plays?
You think there's a list of words that shouldn't be used in these contexts. Your list overlaps with their list in a large number of cases. You just disagree with a few of the words where your lists don't overlap. It's not exactly a big deal.