In a reasonably short article on UltimateGuitar.com, Troy Van Leeuwen talks about his time in A Perfect Circle, and the likelihood of them doing stuff again:
I would say of course they’re different, but I have more experience working with Josh actually than with working with Maynard. With Maynard it was very short amounts of time working with him. I didn’t really per-se get in deep with him. He’d show up and do his thing and then bail and do Tool when I worked with him so…Josh is more…we’re in there every day, every hour, every year, every lifetime.
Thanks to Henry for the tip.