There's another approach that can be taken with this that would serve to help delete poor comments faster and reduce the moderator workload.
The comment flagging system currently has it that if something is flagged a certain way and contains particular words (Without giving too much away, there are certain heuristics that make some types of comments a bit, shall we say, easier to flag away than others).
Extend this heuristic to the one flag removal. If the comment is above a certain threshold for deletion worthy based on the system mentioned above, just delete it. It seems to work fairly well currently.
So instead of just checking if someone is swearing and a rude flag is cast, check to see if its "thanks, that worked" which scores a 88 out of 100 points and is over the 85 threshold for one flag deletion. Poof, its gone and need not bother a moderator.