Is an unaware person human?

Wesley Smith: Bill, do you think Terri is a person?

Bill Allen: No, I do not. I think having awareness is an essential criterion for personhood. Even minimal awareness would support some criterion of personhood, but I don't think complete absence of awareness does.

This comes from a NRO Article by Wesley J. Smith.

This is stunning! This means infants (born alive and healthy) are not persons. I can not recall when I first became aware but I venture to guess it was around three to four years of age. Prior to that I have no memories of anything and from three to four the memories are spotty. So does this mean it is permissible to murder a two year old and then say "no awareness no person"?

Hideous!