I've used a couple of 7-08's for a few years and feel People fails to see the full potential of the cartridge
For the heavies +160 weight Alliant MR2000, Reloader 19,H414 and similar burning powders seems to work well. You can in normal barells approach MV of 2700f/s with 160/162's. It's plenty for up to roughly 400y and still maintain decent expansion.
Loaded to 2,9-2,95" you can normally add 1-1,5grs to the book max loads and still not get into dangerous pressure territory.
ON medium game I landed on 154 Hornady Interbond ahead of 50grs of Re19.
Used on everything from small deer => Moose out of both a Sako 85 Finnlight and Barrett Fieldcraft.
A 7-08 is great medium game cartridge and when going back a few years we did Shot International Silhuett with it.
168's out of a 7-08 was plenty for tipping over even the hardest set ram @500
Hey Sauer, where did you shoot Silhouette? I grew up in Sonora Mexico shooting Silhouette both Smallbore and High Power, started with the 308 with the 168gr Sierra's and then changed to the 7mm-08 also with thw 168gr, later on went with the 150gr Sierra's and had better results on the Rams. I was lucky enough to go to Raron NM for a couple of Nationals and still shoot some every now and then.