OK, I decided to try the Aquila strings on my Ashbory.
I've been using Pahoehoe stings for a while now, so my comparisons are with them, more than with the stock strings.
My opinion so far is that I prefer the sound of the Pahoehoes, but I prefer the feel of the Aquilas.
The Aquilas have more sustain, which is nice, but they lack some of the "thump" (for want of a better description) of the Pahoehoes. I'd say that the Pahoehoes are a little bit more double-bass-sounding than the Aquilas, but only a little. The Pahoehoes have a bit more "complexity" in their timbre, the Aquilas sound a bit more focussed.
The Aquilas also seem to be a bit more consistent, and for whatever reason - perhaps the fact that the tension feels a bit higher - they seem to play in tune better than the Pahoehoes. I had to feel around a bit more to play in tune with the Pahoehoes. The Aquilas are more usable up at the dusty end of the fingerboard.
So, neither is a clear winner for me. The Pahoehoes sound a little nicer, but the Aquilas are more usable. For the moment, I'll stick with the Aquilas, but I might go back to the Pahoehoes if I find myself missing their timbre too much.
I was a bit worried about how the white Aquilas would look on my black Ashbory, but while I think the black Pahoehoes look better, the white Aquilas look surprisingly good.