Animators Palate is definitely a "resort casual" (no t-shirts, shorts, jeans, etc.) restaurant so now worries about jackets or ties there. Triton's is the dressiest restaurant on Wonder (not counting Palo) and they suggest that gentlemen wear jackets, but don't say anything about ties. I wore a sport coat and polo shirt and felt very appropriately dressed. (Although DS6 insisted on wearing his tie!)
However, they don't really seem to do anything to enforce those "dress codes." We saw people at dinner in Triton's in old t-shirts and ratty shorts, which I think was inappropriate and showed a lack of respect (for the rules and for other passengers who may actually want to have, and have a right to expect, a "classier" experience). That said, I wouldn't have blinked an eye at someone in resort casual with no jacket.
