(And btw, I'm unaware of anything that exists that is a 'spectrum' apart from the electromagnetic spectrum. To have the quality of being a spectrum, the subject must continuously span a 1-dimensional space. It's a way overused metaphor, in my opinion, especially for political positions which are anything but 1-dimensional.)
So you correctly identify that modelling it as a one-dimensional spectrum is a gross over-simplification. Then conclude that as it's not a one-dimensonal spectrum, it must be a binary property? Rather than accepting that reality is more complex than is easily captured in common language?
I can see how you made that interpretation but that's not what I was saying. Free Speech is an ideal (not a binary property). I doubt that that you will find any human society with a system of laws that puts absolutely no restrictions on speech. That still doesn't mean that you can talk about Free Speech as a 'spectrum'. It's an ideal that ppl strive for, to varying degrees and across different domains. (Perhaps similarly to how Truth is an ideal that ppl strive for; Truth is not a 'spectrum'.)
It also happens to be an ideal that ppl will vigorously promote in certain domains, while betraying / discarding it in others.
There is no need for the label, other than to serve this purpose. We already have long existing words for what is lumped under so-called 'hate speech', such as bigotry, or invective or slander. But they don't contrast so neatly against Free Speech as the invented (subjective) label 'Hate Speech' does, which is why it was (only recently) coined.
My point on spectrum wasn't relating to free speech but rather free speech regulation.
Open discourse is universally recognized as a generally good thing for society.
So, we can try to embrace Free Speech ideals even as we grant our government right to censor some speech and draw (a somewhat arbitrary) line of what's allowed.
We've seen Russia, for example, abuse that power even though free speech is written into their constitution, they use that power to censor political speech and what they refer to as blasphemy, so we know this power can and has been abused but it's also possible, so, perhaps, you are right.
Plus, people aren't really obliged to love one another or their institutions. Why should I pretend, for example, that I respect some dead Iron Age prophet and people who follow him like sheep?
And yet anti-religious speech is usually perceived as hate speech by the religious folks on the receiving end.