Yes, you get both 32bit and 64bit versions in one box with retail purchase.
You do not get them both with OEM. I am not sure if the key will work with either OEM 32bit and 64bit. It might, but they sell them separately so I am skeptical.
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As for the newegg thing, it is a misprint. Whoever they had write that is an idiot.
Keep in mind, those are probably marketing sales people and for general knowledge of what they sell, they are pretty much clueless.
Think,,,, Bestbuy floor sales guy with a geeksquad shirt who just got done taking their A+ and thinks they know more than they actually do.