What is funny is that it has been pushed by the social democrats. See also what Labour have been doing in UK.
Whatever we call centre-left today we would have placed much further to right a couple decades ago. At this point even the US Democrats are more progressive than our EU "liberal" parties.
I think it's a more useful analysis to add a second dimension than to try to project everything onto 'left' and 'right' (in the style of the .
Axis 1 - civil & political rights: In favour of broad social & political rights (down) -> In favour of few social and political rights a.k.a. authoritarianism (up) Axis 2 - economy: In favour of social responsibility / society ensuring people's needs are met (in the sense of 'from each according to ability, and to each according to need') (left) -> In favour of individual responsibility and a laissez faire economic freedoms (right).
On this 2d view, Social Democrats are nominally lower left, while Chat Control is an authoritarian policy (i.e. appealing to anyone on the top half of the coordinate system), so it would run counter to their nominal values.
Note that there is a significant number of the economic left who are nominally authoritarian (see for example Stalinist / Maoists), and likewise for the right so it doesn't make sense to project that as a left/right thing.
The whole left vs right is a useless caricature. And it’s especially meaningless when comparing ideologies across country borders. Better talk in terms of policies.