I am running a z3100 and until I read this post, was happily running it with the old printer HP Utility on a new(ish) IE10 installation on my Win7 Pro machine. I downloaded the newest HP utility (it appears, functionally, exactly the same, despite being released on March 28th),
.....and no issues whatsoever.
Well, no issues other than the &%%$# offset printing margins (unless I set it to "clip contents by margin" in the photoshop print utility, just like before).
Oh, and I had to recalibrate colour again, so it appears to drop its calibration settings at random times. Just like before.