Ah, these two. I have the feeling the pair were omnivores in-universe as well (Though did Struthiomimus actually have eggs in their diet? My googling doesn’t bring up much about it), though Ozzy seems to be fond of the eating plants part. I’m under the impression he finds their kind eating eggs makes them “unique and amazing” and that eating plants takes away from their special snowflake status. He does consider himself quite a scheme, though he isn’t as clever as he thinks he is. He doesn’t seem completely fond of Strut, who he seems to have around partly to have an egg hunting companion and partly out of family obligation. He isn’t patient with Strut not getting with the program fast enough and doesn’t listen to his suggestions much. Ozzy has a “why do I put up with you?” air for his brother, but I wonder if he gets endangered and Strut’s the only person that can save him, will his fondness for his brother might shoot up.
As for Strut, I agree that he’d be helpless and directionless without his brother. He never seemed to have never got the hang of this independent adult thing, so he relies on the leadership of others to survive. He does have his own opinions, which mostly revolve around just surviving on what’s around than on anything too ambitious, but he doesn’t have much backbone to back these thoughts up. His suggestion to drop Littlefoot from a high place might indicate some hidden malice but it can also indicate how since he can’t stand up to his brother’s bullying, he turns against someone weaker like Littlefoot to air his grievances. People are often taught to react to bullying by those stronger than them through bullying someone less powerful. There might be more fondness for Ozzy from Strut’s side. If Ozzy’s endangered, he might try to rescue him out of that fondness but he might also do so because he selfishly needs Ozzy to help him survive. I don’t know how honest Strut would be about that.