The 7mm-08 has 55 grains case capacity and a CIP pressure rating of 60191 psi.
The 284 Win has 66 grains case capacity and a CIP pressure rating of 63817 psi.
Certainly the 7mm-08 will have longer barrel life. The 284 Win gives higher velocity and muzzle energy and longer range. There's no free lunch.
Both should give longer barrel life than a 7mm WSM
or 7mm Rem Mag. Both should give shorter barrel life than a 308.