The negation that "Popular ideas attract disproportionally good advocates" seems also worth attention. People accept sloppy thinking a lot more readily if they agree with the conlusion. This can be used as a dark art where you present a sloppy thinking argument for obvious truth or uplifting conlusion and then proceed to use the same technique to support the payload. The target is less likely to successfully deploy resistance.

Also it's quite often that a result that is produced in a rigorous way is rederived in a sloppy way by those that are told about the result.