I used to be a hardcore rhyno thrower, but after working on my form a lot I have found that I can putt much more consistently with a neutral putter. I now carry the mcpro aviar for probably 90% of my putts. The rhyno tends to make me start throwing with a bit of anhyzer all the time, which erodes my ability to control longer discs.
Also, not directly related to your question, but something that has helped me get a lot better at putting, and finding the best putter for me, is using a putter instead of a mid whenever I can. I used to be a disc whore, I would have 5 different mids and only one putter mold in my bag just because I was trying different discs all the time and mids were more fun to throw. I was constantly overthrowing my mids on approaches, and my putting was crap no matter what distance (okay it still is but its waaaay better!).
Nowadays, I carry 3 putter molds and 2-3 midrange molds. My mcpro aviars are thrown for almost half the shots I make, about anything 150' and closer, except off the tee. Then I carry a BB aviar or two for putter drives from the tee and for shaping long anhyzer approaches. If it isn't windy and I have room, I will usually even throw the BB instead of a mid whenever I can. I also still carry a rhyno for when I need super-stability, but the gator is too much. But I probably only throw it at the chains once a round these days.
Using these slower discs for longer shots, I have gotten much better at judging the distance and height to throw any putt, and I have also gotten less dependent on my foot positioning for accuracy. I had a lot of problems making shots before where I had to stand awkwardly, like behind a tree or trying to throw over bushes, and was losing a lot of strokes within 20 feet of the basket because of it.