Haven't heard of an HP2 with it either, though Paul stated he expects it as they use the same/similar RTC.
If you want to see it, you have to put it in clock mode. It does not show the clock on the default display (while scanning).
But, it does use the clock for recordings like the x36 series does.
And I have yet to hear of a HP-x series having a clock battery issue. That's the part I find funny. (translation for clarity: That's the part I find odd)