How are you imagining that more granular data would help? It probably won't make a difference. The lag time between action and result is measured in years and there are shocks along the way.

And even if it did, we've never really had the public debate on monetary policy. I reckon the median voter would, all else being equal, want "stable prices" to mean that the prices don't change on average. It isn't at all clear we want the community who thinks "stable" means "exponential increase" to be made more effective in their work.