Thankfully, the author does state his suggested law explicitly: "The ban I propose would be rather straightforward: The U.S. would disallow all individually targeted ads, with large fines or even removal from the public airwaves for repeated violations. Nothing tied to a user’s identity should be used to serve them a particular message. Companies would have to make all ads on its networks publicly viewable and searchable, so regulators can oversee them."
It's perfectly possible to achieve a very targeted system of advertising without going down to the level of targeting an individual explicitly. In fact, this sort of similarity and demographic targeting is the most effective form.
IMO, the correct approach is to regulate what is advertised, not who is targeted, or how they are targeted. The point is that political advertising is potentially dangerous. People don't complain too much about craft beer and coffee adverts, right?