This is a very slick-looking animation/demo. I had looked at it before, but decided I was fine with my AccuQuilt dies.
I use my AccuQuilt HST die for all my HST's. I put the two fabrics together in the die (right sides together), and then cut. When I take the cut pieces out, they're ready to stitch right then - no matching needed, because they were cut together. And the corners are already clipped, so that shows me for sure that my seam allowance is correct (or not, as the case may be, if I'd been doing embroidery prior to that)