I use my Fiskar Fuse all the time, with Accuquilt Go! dies, and Sizzix dies. Sizzix dies are cheaper than Accuquilt dies, and I like their layout a little better.
I strip cut with my June Taylor thingy, although if I had the Accuquilt strip dies I'd use those instead. I use the Fuse for geometric shapes. I don't do applique shapes.
I think the dies make the piecing go ever so much faster. And the cutting a million times faster. I can die cut all the triangles and hexes for I Spy quilts in a few hours, versus the couple of weeks it took me to rotary cut them with a template.
The rotary cut ones were not consistent, and I spent waaay too much time aligning them when piecing, double checking that they were right, which they often weren't, and having to re-sew them a few times (each).
I can't say enough good about die cutting!