Factual error: When the humans are capturing the gorillas, Clayton fires about 15 rounds from his double rifle. This is pretty impressive, considering this is the early 1900's.
Factual error: During the song "You'll be in my Heart", lemurs are shown in the tree that Kala and baby Tarzan are in. "Tarzan" is set somewhere in Africa's equatorial jungle, as this is the only place gorillas live. Lemurs are native to the island of Madagascar.
Factual error: The weight of an elephant is nowhere near that of a large cargo ship so even if Tantor was able to climb up the side of the ship the ship shouldn't have moved.
Suggested correction: Is there different rules in the cartoon world and live action? Animals getting smashed flat then getting up like nothing happened.
It would entirely depend on the specific cartoon. Not all cartoons have a consistent logic. Ex. Sure, a character might get flattened then get back up in a Looney Tunes cartoon... but you'd never see that happen in "Akira," which is also a cartoon. If memory serves, "Tarzan" follows a loose realism when it comes to things like logic and physics, so a mistake like this would be valid.