Just checked again tonight and Delilah is definitely there. I think the confusion comes from the fact that WESI doesn't quite air Delilah "as is" in the way that WVEZ and WLUE did. In particular, they add a lot of songs from their own playlist to compensate for the fact that playing extra songs is more desirable than PSAs/blank air from the ad time that they're not selling. I'm guessing that when it was noted that Delilah was gone, the person who posted it was listening at one of those times. You can tell which songs are WESI programmed versus Delilah programmed by checking out the WESI live feed online. If a song shows up in their playlist, WESI programmed it, if it doesn't, Delilah programmed it. You can also tell since WESI has a certain selection of songs that get played multiple times everyday ("Human Nature" and Paul McCartney's "My Love," for example, and for some reason the Anita Baker "Caught Up in the Rapture"). In fact, just now, they played a Dr. Hook song (WESI) followed by Fun (Delilah).
It doesn't exactly make the nicest blend, but in all honesty, Delilah's show is a strange mix even without WESI doing this. Which explains why stations are dropping her left and right.