I don't this it is intuitive to measure air miles on a lifetime flown basis but hotel nights on a current annual earned reward basis, Especially when you look at the values for each.

Hotel reward nights as explained above cannot be measured in most programs because the redemption levels are dynamic. There is some confusion here.

Air miles is subject to interpretation, you should change the wording to "miles flown" or "miles earned".

However, to make this simple and clear all badges should be lifetime based: countries visited, air miles flown, hotel nights stayed. Cash and reward miles/nights both count. There is too much left to individual interpretation which will make the badges less meaningful.