Didn't we just do this one a few weeks ago? I don't remember giving anyone a Mulligan!
Either will do fine at 125 yds. 22 WMR launches a heavier, blunter bullet at almost the same speed, and by 200 yds it is getting pretty tired. 17 HMR fires a little bitty bullet a little faster, and by 200 yds it is getting pretty tired. 22 WMR packs more punch up close, 17 HMR shoots flatter out there. Other than that, very little difference. Pick the one you want and shoot it.