Streisand effect is presumably what he wants
In the case of Babs, she was trying to suppress factual information and this drew attention to the information she wanted hidden. In this case, it's presumably to Mr Hegglin's advantage for it to be widely known that the information he complains about is not true - it can hardly make things worse for him, by the sound of it.
Secondly, it sounds that these untruths are becoming a meme as a result of self-reinforcement: if you search for his name, you are presented with information that tends to confirm any pre-existing conspiracy theory you might have.
By republishing the information, even as excerpts - and that, in essence is what search engines do - and then directing readers to the full text, they undoubtedly play a role, albeit unwittingly, in propagating these falsehoods.
Were I Mr. Hegglin, I'd want Google to do as much as they reasonably could to dampen the positive feedback loop, because I'd otherwise have to spend a lifetime playing whack-a-troll.
The argument that "it's the internet" and therefore not bound by laws, taxes, or anything that might make life difficult for freewheeling multinational corporations is wearing a bit thin.