You cannot quantify it. IMHO emotional damage is not a thing, at least in terms of people merely saying things about you. Have you not heard 'sticks and stones...'?
If someone claims false facts about you, and is credible, and that then has a material impact on you, then sure, that might be something for the law.
You can, within some reasonable margin, quantify the opportunity cost, though, which is what such reparations are intended to compensate.
Best I can find was that there were 15 plaintiffs, each representing a family. If we assume an average family of four, let's say there are 60 beneficiaries, or $25 million per person. That's about an order of magnitude more than the typical person would expect to make in their lifetime.
There should be something to suggest that they had an income trend or other demonstration of similar potential to have otherwise earned that much if Infowars/Alex Jones had not done what they did. I wonder what showed that?
Your feelings that it is not a thing have no bearing on the actual law. I'm sure you and Alex Jones both agree, but luckily the victims, the jury, and the law don't.
If someone claims false facts about you, and is credible, and that then has a material impact on you, then sure, that might be something for the law.
Otherwise we'd be prosecuting every gossip.