I am white myself and have not received any "special privilege" just because of my race.

(...) Of course, many people are not aware of why they treat certain people certain ways, or may choose to ignore the realities of privilege.

Furthermore, for those receiving the privilege, it is difficult to be aware of this special treatment since in most cases they have been receiving privilege throughout their lives.  For those outside the privileged group(s), the distinction may be more obvious. Or, it may not be noticeable until the facts are presented, since many people don’t stop to analyze and question their treatment.