This again, according to https://fightchatcontrol.eu/ for Germany, Chat Contol is generally supported by de-facto left-wing(support immigration, social security, LGBT movement, positive discrimination, progressive tax, worker rights) CDU and CSU (29 of 34 "Yes" votes with 97 votes in total)
pirate parties are usually considered left wing and they all vote against. privacy is a big part of their platform.
there is more than one left wing faction in the eu - we got greens (more radical and oppose chat control), s&d (mainstream parties like german spd, mostly support), the left (hardcore socialist/communists) and renew europe (centrist liberals). none of them are completely united on this.
far right parties are also against chat control most of the time. christian parties (moderate right wing) support it for moral reasons. its really more of a establishment/alternative issue than left/right.