that is an excellent point, it's kind of a distraction to drag in extraneous protections that don't apply, namely speech between citizenry. There is a government focus to the amendments that's worth keeping foremost in mind. Your statement helps me to keep this understanding in the foreground which I don't always do all the time.
It's not, really. It comes from conflating mentions of "free speech" with "the first amendment". The person you're responding to brought up the latter, despite the fact that the person they were responding to said the former.