After skimming through the clinic threads I'll still post my response here because I feel like I have nothing to add to a doping-related discussion and my main grievances with his remarks are not doping-related.
Random anonymous people on the internet suck. I should know, I am one. They say stuff they can't back up. For the people who are being accused (regardless of the nature of the accusation), that must be difficult to bear at times (regardless of whether said accusations are true or false). They can ignore it but that's probably not easy. However what they must absolutely not do is sink even lower than the level of an anonymous twitter-user. It's just disgraceful, especially for a maillot jaune. In any decent internet community people get banned for that kind of language, and rightfully so.
So when you get asked a question like that at a press conference, you compose yourself and you say something like "You can never convince anyone" or "As a professional, you've got to have a thick skin". Then you go backstage and you tell your DS all about what stupid w*nkers they are. But you don't go on rants analyzing random peoples lives and calling them every obscenity in the book ...