In the end, it won't matter.

Only economists, policy makers, investors and people blabbing on the internet do care about stats.

Ordinary people just look at price tags; that's all they need.

The challenge with that idea is that investors and business people depend on these numbers being solid for investment decisions like "building a new factory" or "investing in GPUs."

Without solid numbers I wouldn't be surprised to see a shift to "assuming the worst case" and much more conservative and lower investment.

I fall into all four categories, which identity am I allowed to require that we not kill our economy with inflation?

It's nice to have agreed-upon, citable facts though, even if only so that voters know who's full of crap during a debate. When the next R candidate says that Trump handled inflation beautifully, it's important to be able to point to an authoritative source that shows that that claim is BS.