I'm in the market for some new shoes that I hope will help improve my squat strength and form. I'm currently transitioning from some everyday Adidas running shoes that are falling apart and were never a good choice to begin with. Based on some quick research, it seems that optimal shoe choice is a function of how the squat is performed - olympic vs powerlifting. Additionally, it seems that the two shoe types are at complete opposite ends of the design spectrum.
At first blush, I would have thought that a flat soled shoe with minimal compressibility would be great for squats. This thought was validated when I came to see the infamous Chuck Taylor All-Star recommended by many folks. Another shoe recommended was the "Metal" brand squat shoe. A few times, though, someone would recommend shoes specifically designed for olympic lifting, which have hard wedges in the heel. This design was also mentioned in passing by my physical therapist today. Adidas makes a few of these.
My squat is more along the lines of olympic style, so should I pursue a raised-heel design? My current problem appears to be tightness in my lats, which is limiting my ability to keep my chest up and maintain the arch in my back at the bottom of the squat motion. I end up tilding forward ever so slightly, but enough to give me some disk problems at L5S1.
Thoughts?

The wedge in the heel causes your upper body to stay more upright, which is important for Oly lifting (forward lean during a snatch or clean is bad news). The heel would help compensate for forward lean, but not so much if there's lat tightness.