One hole in your theory. Fireforming is required. Big deal. your gonna reload anyway.
Go for it. 338/06 is almost my favorite NA big game rifle. I liked the 180 gr, Nosler BT for prairie Whitetails and Mule deer. I have used the Nosler 200 BT's in my 338/308 on cow elk, mule deer, wildebeest, impala, Mt. reedbook, Blesbok, zebra and Kudu with good results. I am going to try the 200's in the 338/06.
Just remember one thing, if you are looking for 338 Win Mag ballistics get one. Keep Velocities around 2500 to 2700 fps and I am sure you will very happy.