It seems, to me, that opening the floodgates to lawsuits is very much a legal consequence; and that government officials would qualify as government; calling them private actors due to them bringing up civil litigation under their given name as opposed to acting in name of the "state" as an organism seems disingenuous and ripe for abuse (which, I would guess, is precisely why they want to repeal §230).
You are technically correct, in that it doesn't violate said amendment in a to the letter interpretation; it could however violate the spirit of it by having the government act, again, via private actors.