I also heard China**n!Me either. I've never heard anything but "tiger" for this song..Wow, I never knew the origins of enny meeny miny mo. I think we used tiger.
Even in childhood songs:
Enny meeny miney moe
Catch a n*gger by the toe.
But over time they changed it to, what? Right MONKEY.
So good for you that you have never heard of or dealt with knowledge of moneky being a slur towards blacks. But I HAVE