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.
That helps slightly, and this version is often favored by libertarians, but I prefer the “8 values” or 8 dimension test that also looks at diplomatic, technological, and religious dimensions. I think I’ve also seen a 9 dimension version.
A multifactor values-based approach better maps niche positions and explains why there are often irreconcilable disagreements among large blocs that are otherwise compatible. For instance, there will always be recurring tensions between progressives and leftcoms despite their neighboring positions on the 4-quadrant political compass. And right-wing secular monarchists don’t really get along with theocrats either.