Speaking of the 7x57, since I don't have a 7/08, I've used 140gr, 154 gr., and the traditional 175 gr.
I normally zero the 140's at 200 or 250 yards. That puts the 100 yd. point of impact about 3" high for the 250 yd zero. Drop at 300 & 350 is 4" & 9" respectively. This zero makes things very simple: anything out to 300 yards, hold centre of body and you're good to go. With a 200 yd zero and the same bullet ( Nosler Partition), the rise is 2" @ 100, drop is 7" @300 and just over a foot at 350. Trajectory is similar with the 154 gr Hornady, with slightly more drop at 350.
I'm considering giving up on the old round nose 175 gr. The lighter bullets shoot flatter, and premium ones like the Nosler probably penetrate every bit as well as the 175's, plus they kill a little quicker.
The average shot distance in my neck of the woods tends to be close, but there is the possibility for longer shots out to 300 yards. I don't shoot beyond that distance for several reasons. I prefer to hunt with premium bullets like the Nosler, because I've had ordinary cup & core come apart at close range with high velocities.
The target is primarily deer, because I have a heavier rifle (9.3mm) for moose. When I'm a little older and too decrepit to carry the 9.3, the 7mm will have to do it all. I also have a .270 that I'm playing with that shoots a little flatter than the 7.