crimson circle society?? that's funny! never heard it put like that before.
to get to your question...probably not. i say probably because the scopes i use (leupolds) have a very generous eye relief, and you do really have to work to get bit by one...although i managed once (another story for another topic).
also, a model 7, while lightweight, isn't that light, and recoil of a 308 isn't that heavy. add on rings, bases, scope, sling, and a full mag, and you might be surprised at how heavy most rifles actually are, even a model 7.
if recoil in this nifty package really is a concern, i'd suggest going w/ a model 7 chambered to 7-08 (an awesome, but underrated cartridge)...mostly the same as the 308, but the 7mm's have lighter viable hunting bullets available, and lighter bullets are one way to reduce recoil a touch.
i guess i wouldn't be concerned if i was buying this rifle...