It's the responsibility of the writer to connect the dots on why it's wrong, not the reader. Throwing out a blanket statement like "it's wrong" and expecting your audience to figure out why (or not and simply agree, since that would be more convenient) is poor communication at best, and intellectually lazy at worst.
I think it's more that “if you wish to convince people of your point, you can't ask them to go find the supporting evidence and reasoning, you need to provide the reasoning and identify the evidence.”