I can’t speak from personal experience, but I've found that my local Jack FM plays the same songs the Jack FM's in KC and San Antonio play. The three, however, don't seem to be 100% synchronized. I can generally catch the same song on all three of them, but it rarely starts and ends at the same time. I don’t know how much of that is due to a natural delay in streaming versus the OTA product, though, and how much of it is what goes on locally.
When Jack was on 105.1 in KC, there would be an area of overlap on the road between here and KC, but the Jack in KC originated its own content at that time. Since it got moved to 94.9 HD2 and a translator, it has begun airing the satellite version of Jack. I’m not sure exactly when that happened. Unfortunately, 102.5 and my local Jack don’t overlap in the slightest.
The old STORQ system Waitt Radio Networks used allowed for some local origination of content, including music. So, it’s entirely possible the Jack on 92.9 was airing optional content 100.9 wasn’t.