I'm from Denmark, and we were first-movers in Europe on "anti-wokeness" since our election in 2003 (before the term existed). Interestingly, as Europe has moved more to the right in recent years, the wave has been quietly receding a bit here.
Other countries outside of the North Atlantic West also have intense nationalist and "anti-woke" movements (Duterte, Bolsonaro, Milei, Putin, etc.) which do their own anti-woke policing, sometimes literally, through law.
In general, my feeling is that the main actual threat to free speech globally is nationalist "anti-woke" movements.