A simple, interesting, complementary fact is that the cigarette manufacturers all saw profits skyrocket when laws started banning cigarette ads on TV. All of their products are largely interchangeable, so advertising doesn't tell you anything new about the product, it just builds brand loyalty. So it saves everyone costly signalling.

It's also extremely difficult for new cigarette manufacturers to break into the market. It's very hard to use a really clever ad campaign to increase your market share when you're not allowed to advertise on TV. Curiously, this may actually harm consumers, in that it prevents competition from lowering cigarette prices. I suppose this analogizes to the idea that if everyone were suddenly banned from displaying their wealth, it would be very difficult to woo Helen of Troy unless you had clearly shown your wealth prior to the ban. Thus, banning signalling can lead to losses, as the wealthiest suitor may be unable to woo Helen if he came to the game too late.