Hi Brandon!
We're well into the development of 2.0 which addresses some of these issues, but not necessarily all of them. I personally am not a fan of the rolling spinner, and that would mean we'd lose the chapter header summaries. 2.0 has a couple of things that make navigation faster, but it's still probably going to be a couple of taps. (Even on a roller, though, you've got a couple of scrolls and tap at least.)
Also, remember that with our software you can navigate to a specific verse -- that's pretty important to us. That does add an extra tap, but I think it's worth it to open up the page to the exact location you want. I think we've got a new "Go" button at the top of the verse screen that'll just take you to verse one, but I'm not sure if that'll be in the final 2.0 product.
Again, the verse chooser screen has headers, which I find really handy to quickly locate the start of a passage.
I'm not sure about left/right swipe -- I'll look into that one.