Not to my knowledge, but definitely got me thinking. With the two templates I was testing with thus far, I know that one of them was created using the other. So I was wondering if there was possibly some key related to both of them that was generating the error since using either gave me the error.
To rule that out though, I just walked through the same steps using a new 2012 template and customization spec that I know I built from scratch with no snapshots. Still got the exact same error on the first use of New-VM.
Thanks for the suggestion!