My ears hear this particular issue in every alternate tuning and guitar model that I've tried.  It is more obvious with some tunings/models than others, but its there in every combo I've tried to one degree or another.

But let me also say, the alternate tunings present a bit of a paradox when it comes to hearing the warbles/artifacts.  You've probably already discovered that the alt-tuned/modelled sounds need to be monitored in such a way as to drown out the acoustics of the standard tuned strings, either with headphones or adequate amplifier volume.  So, of course, listening to the dry sound by itself in a pair of headphones is much more revealing of imperfections than listening to a mix with other instruments(but I still hear them in a mix, too.).  Add some effects to the guitar sound and you will also help disguise the defects.

Adjusting playing of certain notes can "help".  For instance, in the recording I made, I couldve played that figure with more muting.  And that would lessen the warbles, but it also changes the sound of what I'm playing.  And it still has some artifacts. :-/

In the end (and in my opinion), I'm just disappointed that its not the product it is marketed to be.  And, again, I find it strange that I seem to be in a small minority of users complaining about these issues especially since I barely even qualify as a "guitar player".  I would think "real" players/purists would be more dissatisfied with these issues, but perhaps I've got it wrong.  Maybe the upside simply outweighs the downside. I've never had to cart around a bunch of guitars on the road, so what do I know?  Plus most rockers use distortion which masks issues as well.  hehe....  

I soooo wish this was just a problem with my particular guitar, because I really want it to work the way I expected.  I dont want to start a slam-fest or nothing, I just wish the product was offered with a disclaimer "Alternate tunings are useful but imperfect. Here is what they sound like.  Here is what you can do to avoid problems."  Then let me decide based on the truth.  Granted, after discovering the problem myself, I dug deeper and did find some mention of issues.  But nothing very concrete, certainly not audio samples.  Right away, my dealer wanted to bring it in for repair.  But, as suspected, it works the way it is supposed to work.  Glad I avoided the shipping hassle.  Anyways,  I'm sure my dealer would take it back, but I'm probably going to keep the guitar because its mostly fine for my needs and I did get a good price on it (I think), especially since prices seem to have gone up after the first of the year(?).  I'll use a real capo and/or physically retune when I must.  And maybe ( not holding breath ) the recently mentioned HD update will help.... we'll see.