ATR is a measure of (historic) volatility. You can do what you want with it, but that doesn't change what it is.
Where is everyone always focused around daily ATRx when trading an intraday strat? Why not compare TR at each intra-day time stamp/ with ATRx from each comparative intraday time stamp from previous days. Eg comparing 9:30-9:35 with 0930-0935 over the previous x days and so on. So you end up with a normalized ATR value that directly compares the opening range over x days, and all timestamps following. Am I the only one who does this?
I use period range on everything I trade too, split up in to various OR periods and then the duration of that trading session.
I don't believe "everyone [is] always focused around daily ATRx" I trade mostly on a 4hour/1min chart. I continuously graph two ATRs to lookbacks of the SPX that have consistent portent to current and near-future market action. YMMV.