Your argument, while emotional, leads nowhere. So not viewing ads hurts society; why should I care whether or not I hurt society? Now we are right back where we started.
The fact is, most advertising is not obtrusive. Despite the problems that Google Ads has, it is not visually obtrusive. Hell, half of the time I don't even notice them. Does it hurt me? No. Does it help the site sustain itself? Yes. Would I notice a pay wall or product placement? Yes. Would it obstruct my enjoyment of the website? Yes.
To directly answer your question: you should care if you hurt society. If people stop being altruistic altogether, politeness and civility go out the window. An Ayn Rand style system pops up, with people being concerned how to give themselves the most power and goods while screwing others over the most. Maybe you're fine with that; I'm not.
It would be much more practical to create things that boost advertising's strengths, but mute the weaknesses, rather than trying to convince people that current ads are good/tolerable. Like you pointed out, Google Ads are a step in the right direction, but obviously still lacking. The market always points you in the right direction, better to listen than to fight it.