In my experience anyways, push putting in the circle benefits from an understable putter. Spin and snap is better for the Wizards and Challengers of the putting world. I'd personally suggest a Pro Dart, Warlock, or an Anode. Those seem to work better for me when push putting or straddle putting.
I disagree.
Neutral putters have their benifits, even when push puttin, but theres a reason that the majority of the push putting pro field uses challengers, wizs, & avairs.