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Genuine question Andy.
Why are you running such a light projectile in a wsm?
Super bunny vaporizer?

Yes it all depends how far a bit further is really.

I have used the 308 fairly extensively and its range limitations on game im my experience are not so much due to energy but due to wind drift.
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30-06 should put bullets out at around 150fps faster than a 308.
A 22" 30-06 will put bullets out substantially faster than a 13.5 inch 308 especially with heavier projectiles.