I sometimes wonder if we should be measuring money in some other unit besides dollar/etc. to reveal inflation. We could report bank balances and wages that way so the effect of inflation is obvious instead of being a trick to silently steal money off people. But it's tricky because there's no natural measure of inflation. Gold seems like a good idea in a way but I don't understand enough to know.
The issue is that broad money isn't money. It's credit. And measuring credit is like measuring both velocity and position at the same time.
The Fed tried to measure dollar supply globally for decades before giving up as they finally got their heads around how the Eurodollar network works, and they've kept somewhat quiet about the fact that they're just not actually at the center of it.