By "the actual Geneva Convention" do you mean one of the four Geneva Conventions of 1949, or do you mean one of three previous Geneva Conventions that were predecessors of the First through Third of the 1949 Conventions?
> The Geneva Convention doesn't ask for "no fighting", but rather gives boundaries to keep fighting within "human-ish" levels.
As the article indicates, the new convention would parallel the protection of civilians in the Fourth Geneva Convention of 1949 by protecting civilians from being targets of nation-state cyberattacks, not prohibiting cyberattacks generally.
Though I think a better model would be the protection of civilians in Additional Protocol I (1977) to the Geneva Conventions of 1949.