According to Apple, their operating system is so special that it can only (and is only allowed to) run on their own hardware. Therefore, I think it's reasonable making a distinction.
I suppose you can say "Hi, I'm a Mac and I'm a ~Mac", but that seems quite stupid. What other word would you suggest for "~Mac"? When practically everybody in the general population makes the distinction between PC/Mac it's easier just following that convention than trying to force another, more technically accurate, word through.