That's self recognition, not self awareness. Self awareness is what it says on the tin -- having the capacity to be aware of self. To recognise or not recognise oneself in the mirror doesn't dictate any quotient (high or low) of self awareness This is a pet peeve of mine, as it's a common mistake made by those who really aren't very educated in either.
In fact, it's dubious whether some human life forms possess true self awareness. Consider, if you will, a person on the extreme edge of extraversion. This creature lives in the moment and rarely thinks before acting, the very notion of introspection is an alien concept to them. Yet according to what is considered to be self awareness, introspection is a necessary factor. Thus, this example proves that not all humans may possess self awareness, though it's probable that most humans possess self recognition.
Self awareness in and of itself is tied to identity, not the physical body. To have a profound understanding of one's own identity -- to wit, one's self -- is to be self aware. One can identify as something other than their human form and still be self aware, even if this identity recognises itself as a cat, not a human.
A cat, however, likely does not possess self awareness as it most likely has no concept of its own identity -- its own self. It acts upon what the body wants, when the body wants it. The higher functioning and introspective elements that define awareness are most likely not present in the mind of a cat.
Thus, one can self recognise as a cat and still be self aware. The most prominent scientific touchstone would be species dysphoria; A detachment from the identity and the physical form is commonplace. This can be a desire to be of a different ethnicity, gender, or even species. Ultimately, the identity would still be human as the mind which thinks is physically a human mind. Yet it might not be able to fully realise itself in a human body.
If such a mind observes a human body, this may initially cause discomfort. Eventually the person comes to terms with this and is capable of accepting that this is merely the way things are and that little can be done. That the recognition isn't tied to the human form, however, is still a factor. This is simply how brains work. The brain is a complicated thing, not every mind is going to be immediately familiar and comfortable with the form it's in.
This has nothing to do with an identity disorder as the identity is intact. It's only the recognition of self that is different from another person, and it's no more a disorder than it is to be transgendered. It is, in fact, an innate part of the human condition. So long as we can imagine; And Dream; And wonder, we shall face anomalies versus the norm, status quo, and zeitgeist as a factor of everyday life.
Normality itself is a bizarre construct as no human alive is actually normal enough to fit in with it, no normal person is actually normal. They just want to believe they are. Every human alive has quirks, it's just that some are more pronounced than others.
Brains will be huge, complicated, and filled with so many variables that you can't boil it down to a concept so simple as to be simple-minded such as normalcy. Try to adhere, you will lose your mind. We must accept these variations from human to human, it is a Cosmopolitan belief.
It is also where, for further reading, the philosophy of morphological freedom comes from. At some point in the distant future, it will be an inalienable right. Hearing of people who identify as dragons and even seeing dragons wandering around will be fairly normal by that point because everyone will be giving it a go.
There will be a point where we'll change bodies as we do our socks.
Ultimately, this discussion as it is will be moot. I do wonder about the xenophobia that would lead one to be passive-aggressive with a question such as this, though. Hm. Have you had your oxytocin levels checked, AtheistPi? They may be too high. Definitely something to look into??