One of my programming mantras is "no black magic." If I don't understand why something works, then it's not done.
I take this same approach to an incident. If someone can't coherently identify why their suggestion will have an impact, I don't think they should do it. Now there may come a time that you need to just pull the trigger on something, but as I think back I'm not sure that was ever the case in the end.
It was wild to see the top brass—normally very cool and composed—start suggesting arbitrary potential fixes during an incident.