Err, do we actually know she doesn't have a soul? That's one of those tricky things that may or may not be so (depending on whether Jones is accurate in saying she is "not alive", which itself may not be so, and whether emotion is materially linked to having a soul), but at the least, your comparison brings up an interesting point. It is actually a reasonable presumption, and one that I hold, to claim that the robots possess enough of a "soul" to materially affect (or at least, be affected by) the Ether. It's a relatively common assumption that the way Zimmy, who is unusually attuned to the Ether, sees Kat is the same as the way robots see Kat, so it's not much of an extension to assume that robots, at the least, have enough of a soul to be affected by the Ether. Furthermore, assuming the theories of Coyote are true, they may also be able to affect the Ether in turn insofar as they may have created a deity in Kat (or a deity of Kat); remember, the Court robots did not start calling Kat an angel until after Robot began proselytizing, but once he had been for a while, it eventually reached a point where he could convince other robots simply by having them take a single look at Kat. A counterargument is, of course, that Muut stated outright that he doesn't deal in machinery when Anne found the dead Tick-Tock after falling off the bridge, but then, we've never seen the Tick-Tocks buying into the Cult of Kat that Robot's been espousing; only the descendants of Diego's work seem to follow that particular concept.