From what I hear and read, it'll work. In fact, if I come across an old shot out pre-64 in '06 or similar, I'm going to get it rebored in 9.3x62. And it's .366 caliber. Rebore is less expensive than a new barrel, and I'm assuming premium grade tube. A good rebore should shoot pretty close to a premium barrel.
Check with JES reboring:http://www.35caliber.com/8.html
DF
