Yes, the council was correct. The requirement is for the minutes to record decisions made. In general, there is no requirement to record the discussion or details of the voting.
However, at the time the matter is being discussed, any councillor can request that the votes should be recorded in the minutes, and if such a request is made, then it must be honoured. Although the legislation does not specifically say so, it is generally accepted that a councillor can alternatively ask for their own vote to be recorded (as a subsidiary right based on the principle described).
The right to have the votes recorded cannot be exercised retrospectively.