Well, I don't think the ...um...liability(?) of the Cosmos is that it "morphs so many parameters and textures together" per se; to my mind it really is a pedal that, if you just turn it on and let it Do Its Thing, does one thing and does it well. It's just that that one thing tends to quickly become an undifferentiated morass regardless of what the seed material is.
To avoid that Sameness you have to engage with the pedal; that's what I meant about "playing" it...or, to use your term, you have to "tweak" it ...but you have to do that constantly, so that you're regularly interrupting its default processing, and sending the audio off in different directions before its had a chance to become so uniformly "ambient-ized" as to become the aforementioned undifferentiated morass.
All of that is a preface to my thinking that the Cosmos really lends itself to being a tabletop processor, not a foot-controlled stompbox. I've gotten semi-comfortable doing the tapdance + bend over dance required to continually engage with it, but I think I'd get even more use -- and more unique sounds -- out of it if it were within an arm's reach rather than on the floor.
[btw, all of my comments/observations pertain to the original "Drifting Memory Station" firmware. I've never tried the Metric Looping firmware.]