that's a good question. anytime I upgrade and then miss a putt, I am always wondering if I had a more precise putter, would that have gone in? Then I start driving myself mad and I stop and realize I am not having fun.
I think if your current clubs work well for you, then that's it but as you get more precision and other stat upgrade, and you learn those new clubs, your score will generally go lower.
More backspin will mean more control and more precision just that.
There are other elements to keep in mind such as club distance, ball flight, etc.. all of those determine how you can approach a hole.
-wgticon