The game only lets you use one of the same type of item at a time, and the armory works by swapping your items one at a time, and sometimes there will be a conflict.
The issue above is due to the fact that you can not dual wield Ethereals, and in each profile he is using an ethereal, but on opposite hands.
The armory is attempting to swap the main hand weapon first, but fails since there is already another ethereal in the offhand slot. The profile will load correctly on the next try because he is no longer using an Ethereal in the offhand.
The same thing will happen if you use the same type of rings, but wear them on different hands, or if you use the same gem, but use it in different jewellery slots.
The armory pieces get swapped out one-by-one, and if there is a conflict, it will not allow you to wear 2 of the same item even for a split-second while it is swapping out the rest of your gear.
For most armory profiles this is an easy fix for gems and rings, since you just need to make sure you always put the gems in the same sockets and wear the rings on the same hands between profiles.
In the particular case above, it makes a difference which weapon you hold in your main hand vs offhand, so it is just something to be aware of, and always make sure to click the load button twice.
Once you know what is actually happening behind the scenes when you click the “Load” button, you will realize that if you had done the same thing manually, it would have failed as well.
They could fix this easily by making a check afterward to make sure that everything loaded properly, and if not, auto-click the “Load” button again, or show you a message to alert you that something did not load correctly due to a conflict of equipment.