Maybe. I agree that those are not human experiences. However I am not sure the "funny hat" applies as all situations are approached from the perspective of a Human Mind.
Yes, but... there is no one Human Mind. Not all human minds are the same.
You lay on heavily as to how your parrot has a different perspective on the world than you do. Which I'll accept as correct. However, you completely miss how other humans also have different perspectives. If you have two working legs, you don't know the perspective of someone who has used a wheelchair all their lives. If you don't have the condition yourself, you don't know what it is like to live with PTSD. If you grew up poor, you don't know what it is like to be wealthy. Each of these things also changes how we perceive and conceive the world.
Ergo, you can't even really play any old human. By your logic, you can only play yourself. All players are really playing, "Dave in a funny hat." There is no "Human Mind". There is Dave's Mind, and Sally's Mind, and Juan's Mind, and they never really meet.
However, when we start considering this, there's a point at which it gets less credible...
A couple that's married for several decades says they know each other really well, and understand how each other conceives the world. Do you tell them that they are wrong, and fundamentally cannot know how the other thinks, feels, and conceives the world?
While you are busy trumpeting that we cannot know how a non-human mind works (as if absolute knowledge was really the valuable bit anyway), you bypass considering how the human mind really does work - by building models.
I have been married to my wife for over a decade and a half. To hear us talk, you could come to the idea that maybe we read each other's minds. Of course, we cannot. What we do is have very good models of each other in our heads, built and refined over long exposure. I don't know what she's thinking, with what I'd call scientific certainty, but with my model, I can make guesses with high accuracy, and verify that they are accurate.
Next, we find that humans can and do make models of non-human minds - our dogs, cats, and horses are excellent examples. From subtle differences in barks, meows, growls, body language, and so on, we can predict what an animal wants, and verify that by watching their behavior after we provide what they want.
I have a pretty good model of my cats. I can tell the difference between wanting food, petting, or play with pretty solid accuracy. Do I know how a cat thinks? Maybe not, but I have a really useful model of them in my head.
So, we can model other humans, and we can model animals. To be convincing, you'd need a really good reason why humans can do that, but fundamentally cannot come up with a plausible model for non-human sentients. Why is the next step impossible?