The courts already distinguish "commercial speech" as a class of speech. Would we prevent all forms of commercial speech? What about a waiter asking you "would you like to try a rosé with that dish? It pairs very well together." Is that "advertising" that would need to be outlawed?
What about giving out free samples? Is that advertising, and thus should be illegal?
What about putting a sign up on your business that says the business name? Is that advertising?
I hate advertising and propaganda. But the hard part IMO is drawing the line. Where's the line?
When you are dining, and are suggested food pairings -- I'm there to eat, so suggesting something food related from the same establishment, that may enhance my meal experience, makes sense and generally does not feel unduly interruptive. In a way, I consent to being offered additional interesting and available food items at that time and place. I would not find it acceptable if the waiter brought out a catalog and tried to sell me shoes or insurance.
In a similar way, I don't mind (and often even enjoy or appreciate) movie trailers at the beginning of movies. I'm there to watch a movie, and in a fairly non-interruptive way (before the start of the movie) I am presented with some other movies coming out soon. Nice. I consent to seeing them at the start of a movie, and they are relevant to the subject matter. I would certainly be irritated if they were hoisted upon me in the middle of the movie, or if they were about new cars coming out soon.
I have also at times been actively searching for something I need or want to purchase, but am unsure what exactly I am looking for or what are the best options. At that time I would certainly be more open and interested in seeing advertisements regarding the types of items I am interested in. I would "consent" to seeing interest based advertisements.
Summary: I do not enjoy being interrupted with advertisements completely unrelated to whatever activity I am taking part in. I only want to see them when it is related to what I am doing, AND when I consent to seeing them.
IMO it should be illegal due to using a system for safety announcements for non-safety profit related reasons.