Given that the flag mechanism has been expanded and improved for both questions and answers and taking into consideration these two questions that ended up more or less with a 'you should flag more' answer.
I think comment flags should be revamped. I suggest changing the tooltip to remove the "hate speech" part of it:
"Flag this comment as noise, offensive or spam"
This because I think that having both offensive and hate speech as flag reasons bias people towards a stronger definition of offensive than they would otherwise have, as illustrated by the sample comments that follow.
Remember offensive is a superset of hate speech, so it's not really necessary (hate speech is by definition offensive.)
Some relevant quotes:
One concern I have is inundating you with nitpicky stuff. Send me a note if you feel that's happening. I think -- based on the feedback here -- that I feel a little more free to flag comments that are simply rude but not patently offensive. – tvanfosson Aug 18 at 15:39
I think I've avoided flagging because I assumed it was reserved for personal attacks and specific malicious language (racist/sexist views, calling someone stupid, or offensive language in excess). But now that I know that it's meant to curb exactly what my email was about, I'll be sure to use the flag option for those situations. – Anthony 14 hours ago
I certainly cannot prove that these ideas are due to the biasing hate speech part of the tooltip provokes, but it certainly does give that impression to me. And there is nothing to lose from removing it. It's not as if our community needed a reminder to flag hate speech when it happens.