To Those Who Say Yugi Isn't Atem's Reincarnation

Possible Reincarnations?

OK! We all know that Yugi is the reincarnation of Pharaoh Atem, Kaiba is Priest Seth, Sugoroku is Shimon, etc. etc.

However, I think there are some others who are also reincarnations, even though it's never mentioned in canon. I think because they bear an uncanny resemblance to some of the Ancient Egyptian characters.

Case en point:

Priest Shada and Shadi

Priest Kalim and Rishid

Priest Akhnadin and Papa Ishtar

I realize I'm basing this solely on physical appearance. However, given that Kaiba, Yugi, and Sugoroku look identical to their former selves, is that really so wrong?