Recoil is relative and very subjective. I owned a 30-06 with hogsback stock that kicked into my face making it uncomfortable. In a classic straight stock it'd be a pussycat. Between the 7x64 and 30-06 I think any noticeable difference would come down to differences in weight of the rifle, stock and recoil pad design.

Shoot a 338WinMag, it will change your perseption of the 30-06s recoil.
Cheers...
Con