Personally I would like to have an ETA indication on the "what's there" window, because usually ATC does require and estimate of the ETA (the minutes, hour is not important, as you know) to a certain point, but showing ETE means that you need to sum the ETE to the time to get the required ETA. In a busy flight moment this could be very annoying (if not dangerous).
Zulu or local time, ETE or ETA selectable (or both present), exactly in the same place as now ETE is indicated (as shown below), are all not important detail, but having the ETA somewhere on that screen would be very, very useful.