Do pet parrot birds also protect against shaytaan and jinn like the pigeon birds or do these benefits only apply to pigeons?

In general birds are mustahab to have at home. However, the specific benefits mentioned for pigeons apply to pigeons. It’s not clear that they apply to other types of birds, or they might apply to other birds but to a lesser extent. So they might protect against them, but possibly to a lesser degree. Pigeons offer the best protection