The side view looks like this, surely;
If you were to the rear of all the observers, looking past the Earth toward the Moon, their views would vary, because of the difference in their LATITUDE. The observer at the equator will have the crescent toward the bottom of the Moon, and the observers at 45N or 45S will have it inclined to this aspect by 45 degrees each.
Tom, do you see how the vertical for each observer matches the dotted red lines you put on the mooncalc screen prints?
Do you see how the yellow lines connecting observer position on the screen prints with the Moon all correspond to the three green lines in the side view?