No it will not cause any damage to your rifle at all.
My Bushmaster eats Wolf all day and night, it's all I ever shoot at Markham Park because there's no reason to pay $50-$100 more for higher quality ammo that will punch the same hole in the same paper, and at only 100 yards which is the most Markham Park goes out to, any differences in accuracy are negligible at best.
It's not like i'm using it for matches or home defense, I have other ammo suited for those purposes and I can get almost double the trigger time for half the price as most other ammo. I also don't feel so bad when I go out there and go through 500+ rounds in one range session because the stuff is so dirt cheap.
Sure it will make your rifle more dirty than higher quality brass cased ammo, but who cares? You should be cleaning your rifle after every trip to the range anyways so it makes no difference.
I don't shoot Wolf through my Sig or Beretta though, no reason to when there's other cheap practice ammo out there like CCI Blazer or Lancer Ammo.