I used to putt exclusively that same exact way. But As Tight said you lose precision and will miss more . I received some good advice from Spammage and MAX about putting .
While I dont ding all my putts I now do move the aim marker and try to ding the putts. But If I miss the ding I compensate ever so slightly to miss the ding on the opposite side of the break so that the putt still has a chance to go in. I am still learning this style but my putting stats were bad like yours about 2 months ago but you can look at them now and they have improved drastically. Which is why I am now a TM and will make Legend soon.
My 3putt % was well over 12% but I think I got it down to like 8% now. I bet if I could count only the putts since getting the level 77 Nike Putter compared to my previous stats it would be night and day. At times I feel like I am missing putts I should make but I am making putts I almost always missed so........
This is definitley the hardest aspect of Golf and this game. I love it !
If you use a putter with high precision using the misding method will not work so well . If you are a misding putter and dont want to change that method try the Rossa putter if your not using it already . I was starting to master that putter using your method and was improving but I am glad I took the advice and changed my putter . I have not looked back since.