Steve,
The answer is yes but the minutes also don't always need to go into great detail.
I offer this from
Fairfax County Community Association Manual:
Too often, meeting minutes become lengthy with the intent of being thorough and correct. The purpose of a meeting is to conduct the business of the association; and the minutes should record what was done or decided, and not what was said or by whom. The minutes should never reflect upon the character, emotion, or personality of any person, or give the secretary’s opinion, favorable or otherwise, on anything said or one in the meeting. For important motions, however, the name of the mover should be recorded along with the exact final wording, including amendments, upon which the subsequent vote is taken.