Earlier quoted context omitted.
The problem with that is that's putting Yelp into the position of censoring content. If the court thinks that a review is defamatory, they should just order the reviewer to take it down. No need to involve Yelp at all.
You say that like Yelp doesn't already self-censor to suit it's business needs.
Yelp is not required to run a neutral public forum—they can institute whatever policies they want. The problem is when the government forces censorship, not when private companies have their own policies on what they'll host.
Removing content from your own site is not censorship.