iTunes on iPhone not updating Last Played field

Update: I created a playlist called "Played Today". On the Mac, it showed 23 songs (wrong!). When I synced the playlist with the iPhone, the playlist on the iPhone showed 114 songs (sounds about right). In the list of songs, I notice that most have a little iPhone symbol in a triangle in the upper right hand corner, as in "it's only on the phone"??? Came from iCloud and not the sync? What?

Well, I figured out a workaround, but I think there may be a bug somewhere. One of the playlists I created on the Mac selected 1500 songs based on "least recently played". However, it did not copy correctly to the iPhone... the songs on the iPhone playlist were actually different than the one on the Mac, despite the fact that I have only one library with one set of Last Played dates. All the other playlists looked okay, but of course yesterday I was listening to the "least recently played" playlist. So, I created another smart playlist on the Mac that simply selected all the songs on the "least recently played" list and synced that one with the iPhone. That one copied correctly and, when I played a few songs on the iPhone and synced again, updated the "Last Played" date just fine. So, the iPhone does not like lists created on the Mac using the "least recently played" feature.