Sorry for the confusion about domestic vs. international, folks; I was a little too wordy in my original post. My question was about stopovers on an international award itinerary, and it sounds like in most cases that means a >24hr stay.

Assuming you are wanting to stop at an appropriate hub for your carrier, does it matter whether the stopover occurs on the outbound portion of your itinerary or the inbound (i.e., return portion)?

Thanks to everyone for your responses!