Different birds of the same species can have different outcomes I have seen, anecdotally. Two cockatoos, one thinks a plush toy cockatoo is a bird and another correctly identifies it as a toy.
Another observation I have had is bird on a screen are also hit and miss, but sounds are a bit more consistently responded to. But bird are temperamental full stop, and barely respond the same way consistently, so it's tough to say if they are not responding because they don't think it's real, or if they are just not interested.
theyre a lot like people in the spread of cognitive ability you can expect to see and how a lack in some areas can be made up for in others. Most animals are like that in my experience. For example, my cat has zero issues with mirrors, realistic cardboard cutouts etc. despite being super violent towards any other real cat, even if it is behind a window or a digital screen she hasn't figured out is a screen yet (which she checks by looking behind the screen to see if it is see-through both ways). She loves playing with you, but won't play if you aren't into it and she can tell. She refuses to play with things if you aren't participating in the game, for example loves chasing a feather on a string, but put the rod into a motorized unit? the moment she realizes you aren't holding the stick / watching she's out. Not just that, if you tried to deceive her into believing you were part of it, she'll sulk the rest of the day and, for lack of a better word, be catty. Other cats I've met? it varies, some are also super smart and understand causality etc. while others barely manage to not drown on their own spit.
The problem is, that much like it is hard to have a singular measure for intelligence in humans, it is not really feasible in animals of a given species either.
Some parrots will enjoy screen time, others wont. Some are more social, others less. Some will like phone calls, others wont. Just like people.
Another observation I have had is bird on a screen are also hit and miss, but sounds are a bit more consistently responded to. But bird are temperamental full stop, and barely respond the same way consistently, so it's tough to say if they are not responding because they don't think it's real, or if they are just not interested.