Going on this season's stats, fumbles recovered correlates very weakly with wins. Each fumble recovered increases your expected number of wins by 0.08, or in other words, if we had recovered 12 more fumbles over the season (good enough to put us in a tie for 5th place nationally on that stat), we could only expect to have gone 9-3.
Edit: Interceptions made correlates much better with win total than fumbles recovered. Each interception increases your expected win total by 0.33, or in other words, had we made three more interceptions this season, we could have expected to win 1 more game. Each interception thrown decreases your expected win total by the same amount. Granted, this analysis is based on an entire season's worth of data dumped into a single column, so it doesn't account for games where you got a third of your season's total ints against a 1-AA team. However, it might also indicate that if you can load up on ints against a weak team, you might do fine against the better teams, even if you aren't getting interceptions. I don't know.
Last season had similar trends, expect it was 0.16 wins/fumble and 0.36 wins/int. But on all of these stats, R-squared is poor, so you can get a lot of variance. The best stat as far as R-squared went was turnover margin vs. wins.