Yeap, I see it now. I've played with the clock and I can see how it changes.
From my point of view the correct would be to see the altitude on the selected time not the current - or at least it make more sense to me.
I think I found a quick method that could work. Try to run mosaic tool multiple times and every time select different output directory in mosaic tool dialog. When I tried it overwrite previous jobs in scheduler but you can easily load them back with "load and append" button. This way you have independent set of esl and esq files.