I think a closer analogy is a shop hanging a poster out front saying "Buy Samsung TV's here!" When you ask the shop keeper about the sign, they take you to the TV section where there is a huge philipps tv display says that the TVs are in here.
DoorDash isn't telling you that Applebees is Saddleback BBQ, they are just not making it as easy as they could to help you find what you are looking for.
Strongly disagree. Clicking on the link for Saddleback BBQ is effectively saying "take me to their ordering page" and I don't see how you could reasonably expect otherwise.
Fraud is hard to prove because you have to prove intent, but this at best incompetence, almost assuredly false advertising, and pretty clearly fraud although good luck proving it in court.
FWIW the measure of trademark infringement is balance of probability, as it's civil law. So that would probably be the best way to combat it. Damages are probably less.
DoorDash isn't telling you that Applebees is Saddleback BBQ, they are just not making it as easy as they could to help you find what you are looking for.