Is "their" necessary here?
Native speaker’s answer
Rebecca
Yes, that's correct. "Their" is technically not needed here, as it is already implied that all-you-can-eat shrimp is one of Red Lobster's dishes. However, sometimes people use "my/their/his/her" to emphasize that something belongs to them, or is a signature of theirs. Ex: This restaurant is famous for their steak. Ex: My mom is famous for her chocolate chip cookies.