That is obviously very different from saying "I don't like this person so we should limit their freedom of speech even though they're not deliberately misleading anyone".
The point is that you should be trying to establish policy that doesn't come back to bite you in the ass when the prevailing winds change. Saying that you're not allowed to say things that 1. you know aren't true and 2. damage others, is a fairly objective standard. "This guy is a felon so we should limit his speech, regardless of what he is saying" is not.
Would you pass a law that makes all lying illegal? Why not? Does speech have to directly damage someone? Financially, emotionally, what? What threshold of damage is punishable? Couldn't one argue that promoting communism "damages others"? The Secretary of Defense announcing a fake foreign invasion should probably be illegal, but a random drunk person claiming "the Chinese are invading" probably shouldn't be. So there's a line somewhere between those two people, where is it?
It's only perjury if you knowingly lie, which (when under oath) damages the integrity of the justice system. It's only libel if you tell a deliberate falsehood and it damages someone else directly. etc.
If you don't consider these "free speech", then you're already drawing a line.