@KanoAgreed. For 99% of hunting, the difference between the two systems (in a GOOD rifle) is mostly academic.
Where I'd see a difference is at the extremes of professional "hunting" use: long range sniping, and daily use as a DG backup rifle submitted to all sorts of mistreatment. There I'd pick a push-feed for the former, and a CRF for the latter.
Keep both clean and maintained and you won't have problems with either . Takes 5 minutes a day to wipe them down and clean the action.