In a perfect world, all members of ward and stake councils should have an active recommend. But since bishops and clerks have significant control over membership and finance records, as well as other systems, I would see that as a special requirement for them.
An alternative reading of GH 33.4.2 implies a maintained standard of worthiness during the two-year period the recommend is active. So not just "having a temple recommend", but being continuing to be worthy of it.
This goes to the sensitive nature of what a Ward Clerk does (or has access to do). I think a Bishop keeping tabs on the clerk is a good idea, kinda similar to how a Stake President regularly interviews the Bishop.