I do use a puch basic stroke. I tried switching to a center shafted two ball after a couple years with a TP Mills blade, and had terrible results outside of ten feet.
I think, for me at least, the center shaft makes it difficult to feel the sweet spot plane especially on lag putts where some number 3 acumulator is needed.
I have yet to try a heel shafted face balanced putter. It would seem that the face balanced putter would be more natural with the push basic stroke, but I personally have more succes with the toe heavy putter.
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If the right wrist flattens at or around impact, you will suffer from trajectile disfunction.