The 8x57 is dropping off in popularity slightly these days as American ammunition manufacturers push American cartridges. You only have to watch the Wild Boar Fever series to see the change. In the earlier series they used Norma and RWS and the cartridges were 8x57, 7x64, 375 H&H, 9.3x62 and even the 9.3x74. In the latter series were Hornady is the ammunition supplier it switches across to 270 Win, 30-06, 300 Win Mag. Strange really as Hornady has a huge range of European and English cartridges but I guess they can make more money on the American cartridges. My choice would be for the 8x57 JRS as you have a powerful cartridge with moderate recoil which allows for faster recovery time between shots, and you have a huge range of factory ammo in the 196-200 grain class and S&B even make a 220 grain round. You can even hand load Woodleigh 220 and 250 grain projectiles.
Remember that your original post said you wanted a cartridge for European driven hunts and the 8x57 JRS would do everything that you want particularly with a 200 grain bullet, close range power but still good to 200 meters all in a medium weight gun without to much recoil. And in Europe ammunition is readily available at reasonable cost. IMHO.

Waidmannsheil.