Only one side claimed to be "free speech absolutists".
But a hypocrite that pays lip service to free speech might be better than someone who openly doesn't care for it. At least the principle remains respected.
I mean, look, there are conservatives who actually do care about free speech for everyone, not just their allies. But the "conservatives" currently in power, who claimed to be "free speech absolutists", seem more interested in control of speech as a source of power, rather than in actual free speech for all.
Don't fall into the trap of grouping into left/right. Individual behaviors must be judged separately: going into crowded spaces unmasked during the high of covid? Bad. Burning down a business? Bad. Getting someone fired for speech? Bad. Etc.
See how easy and clear that is? Nothing about left or right.