I've been happy with the Aerohead.
The A23 is a little wider.
The Dyad is wider, taller, and heavier.
So, one might expect the Dyad to be a bit stronger than the A23. Is it really necessary?
Bottoming out your tire is bad on the rim, so if you can keep an adequate tire size/inflation to prevent bottoming out, then it will do a lot to protect the rim.
It is quite possible that anything that you hit that is severe enough to bend the A23 would also bend the Dyad, but it would depend a bit on one's riding.
Oh, one other point. It appears as if the current USA A23 rims are "tubelesss ready". The Dyad is not. If you are planning on going tubeless, then get the A23. If not, the Dyad may be easier to change tires in the field without tools.