Completely untenable analogy. Why people say is that the solution is more speech is due to the antecedent concept of the marketplace of ideas and that, by and large, ideas are sifted via free speech and the good ones last while the bad ones die. You cannot have this sorting process in a system that stifles free speech.
If you want to attack free speech absolutism, at least attack Mill's axioms, not some made-up poorly-formed straw man of an analogy.