I think the Gang would love him, and sometimes be annoyed by him. However, I can't see him in as a full member of the Gang. He's a dog ( a fun and smart dog, but a dog noetheless) in the guise of a dinosaur, just as the LBT dinosaurs are people in the guise of dinosaurs, and pet dinosaurs in the Land Before Time would be awkward, kind of going against the anti-speciest message of the franchise.
On the other hand, this anti-speciesm is of limited reach, since sharpteeth in general, apart from Chomper, are called mean and stupid by members of the Gang, so maybe a dinosaur species that was presented as simplistic from the beginning could serve as a kind of pet. But I still see introducing this in LBT as quite a stretch.