It can and has been done with no feeding problems. Use the 30-06 BF. Check to see if your bolt body is keyed and if you have the large or small firing pin.
Throating may be an exercise in futility if you take it too far. As the throat erodes you'll have to chase the lands and you might run out of case neck. Imagine needing at least a caliber of bullet in the case an not having it.
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