What of the good CTOs who have mediocre teams with a lot of bad ideas that are poorly thought out?
Note: if you answer with something like "CTO should quit", "CTO should fire them", you fail this question.
On the off chance they don't learn, and the situation repeats itself, it may be prudent to refuse such requests.
That having been said, the worst situation is when the boss agrees that it needs to get done, but can't find where to sneak it into the schedule. It's effectively saying that you don't value the happiness of your employees and can't schedule/push hard enough.
That conservative policy still leaves room for explaining why a given bad idea is bad, or for exploring that idea for like a workday or two so the employee can figure out why it's bad.
If after all this the CTO is still besieged by idiots, they should leave...either because they have failed their team, or because the team is deadset against succeeding.