First, welcome aboard! Both rifles you've mentioned are good rifles. I'd simply ask is there one you prefer? There's a significant difference, shooting a bolt vs a pump. Are you looking for a quick 2nd shot? If that's the case, I'd simply add that it's the steady 1st shot that normally brings home the venison, so personally I'd not necessarily look at it in the manner. How is the trigger on each rifle? Are there scopes atop either rifle? The scope chosen/used can certainly make a significant difference.
Again, both rifles are good, simply handle and choose the one you like the best. You've already done a fine job in cartridge selection IMHO!