It could. Search for "Windows License Type:" in the results. Just few notes:
a) Windows 7 accepts any type of product key - it just has to be OK for chosen Windows 7 Edition
b) You can change product key, if you find out, that incorrect type is used - more information here:
http://social.microsoft.com/Forums/en-US/genuinewindows7/thread/ce677eb0-7d97-46d6-81df-a05dca1c2b85