As with all bullets.
But the best bet is to find the bullet with best BC i.e. heaviest (among the ones that otherwise satisfy your needs). That way the velocity window you're dealing with is narrower, and the bullet behaves more consistently at different distances. As an example, in 308 the terminal velocity at 300 meters is about the same for 150gr and 130gr even though MV is considerably faster for 130gr. So if the design criteria is same for both bullets, they work equally well at 300 and at closer distances the 150gr is "more civilized".
I also suspect that bullet designs that are supposed to lose the petals will work more consistently at different terminal speeds, as long as velocity is over the design threshold. Many people on this site have moved away from these designs, since the breaking petals carry somewhat significant momentum and can e.g. hit the rumen even though shot was comfortably in front of from diaphragm. Haven't personally used them at supersonic speeds.
As to the choice of cartridge, 7x57 has small and 270 significant edge over the smaller cases. Meaning they will be faster at 300m if that's the culprit (given that you can find highish BC bullets and they work with your twist).