No the 8-06 (me and brother have one) is closer to the 8x64S but Brenneke created that cartridge in 1912, the 8-06 came after 2ndWW. The 8x60S is really the 8x57IS with 3mm more lenght. The 30-06 use the same case head as the 7mm mauser an 8mm mauser (8x87IS)but the 8x64S head is a little smaller. note that the originam 9,3x62 case head is a bit larger than that of the 30-06/8x57IS...You can use all the 30-06 based cartridges to reform in 8x60S.
To jericho:
Think the Weatherby was one made by Sauer in Germany and was in 8x68S (power and velocity Weatherby motto's)



Experience is a lantern, carried in our back, only lightening already walked path. (Confucius)