I don’t think an advertising sign that says “Meat-Free at Cockscomb” will bring in too many customers.
However, this being San Francisco, if they had a sign that said “Free Meat at Cockscomb”, you’d have a Conga-Line of freaks that would run down 5 blocks and 3 more to the left.
I’d say that as a rule of thumb it’s a good idea that when visiting SF, do not take your family to any place with the word “cock” in it.