The game will penalize even the slightest of mishits from where you're trying to hit (as in your example). But it seems to be no different than aiming and going for the perfect putt, but missing every so slightly on either side. Again, it's really all about consistency for me and knowing what to expect with certain swings and mishits in specific areas.
I suspect it may be a bit too sensitive to mishits and Tibbs brought up a great point in another thread about the "forgiveness" rating of the tour starter putter being high, but actual forgiveness on the course doesn't show it. Maybe they mixed it up with the default putter.
My biggest complaint of the previous putting is the wind having a huge effect on putts, and the maddening variance. Put together, those 2 items almost drove me to insanity. On the plus side, I learned how to tap in with the driver due to the frustration. :)