What's the argument against? Folks have been driven to suicide by targeted harassment and doxxing labeled "speech." The whole reason we have laws about public accommodation is because in a society you can drive someone to ruin by everyone collectively refusing to do business with them which was (and still is for the gays) backed by 1A. The threat of violence is violence, speech that is an implicit threat of violence is violence. Speech that makes people feel unsafe due that implicit threat is violence (say a neighborhood where every house had a flag with a black man hung by a noose). Verbal abuse is still abuse. Everyone who's ever been to school knows that bullying doesn't actually require anyone lay a hand on you to make you live in constant fear and that dynamic doesn't just go away when you become an adult.
Sure, we could coin a term like "diet violence" to mean actions that cause in people the behave as if they were under the threat of violence but which doesn't cause bodily harm but what would be the point? Legally it makes sense to do that to discourage escalation but to the victim the only difference is usually but not always the severity.
I'm sympathetic to folks when their messaging or iconography becomes recognized as an implicit threat of violence due to it being co-opted by others when they didn't mean it that way but if a bunch of people started flying communist flags and lynching people I would take mine down even if I was just really pro-workers rights. To me speech is about the content, the ideas, not any particular expression. In opposite world where "we're here we're queer" was a line that caused people to hide in their homes in fear I would be like yeah that's violence if I used that phrase in a speech. I can't separate cause and effect. I can still express my totally fine idea that queer folks do and will always exist, just using different words.