Doesn't Yelp have a reputation for much shadier business practices (i.e. extortion)? Maybe they're not a very sympathetic underdog in this fight.
Side note, Yelp literally called my partner who ran PR for non profits art org and asked to be paid $$ or else competitors ads would run on their page. Literal words. One would pay for NOTHING except not having competitors getting promoted on your own pages.
Partner laughed and hung up.