I like Patitions, 3006s and deer but never had any luck telling any of my rifles what they will like.
My old Ruger 7mag likes 160 partitions and has filled a lot of tags over the years, my go-to gun for 15 years
Bought the 06 in my avitar for a high country elk gun, problem is it only likes 168 Amaxes. Not the best elk bullet IMPO, started with 180 and 200 partition as well as a few other heavy hitters but no accuracy.
Lb fer lb whitetail are tuff critters but placement takes precedence over weight and construction! Accuracy and your ability to range correctly are key.
A 20ga slug at 50 yards should have been a done deal but the bigest deer I'v ever shot at rolled over backwards, caught his feet and ran off. Years later I confirmed that the slug hit too far forward and centerpunched the shoulder......It happens
Long way around the barn but dont get hung up on what you want but rather what will get it done. You have plenty of firepower in the 06, most bullets at 06 velocities will get the job done if you do your part