The PSE Axe 6 is like a purpose built race car. It's fast as hell but isn't gonna drive worth a crap commuting to work.
The Mathews is more like a tuned sports sedan. Plenty fast enough to out run most of the cars on the road but a heck of a lot more comfortable on your commute.
Having said that I do not like the extreme amount of reflex the Z7 has. It makes for an unstable bow that does not settle in the hand very well. Very easy to torque a bow with this much reflex built into the riser. If you like the smooth draw of the Z7 and like Mathews I would strongly suggest you shoot the Monster 7. Best hunting bow in their line up IMO.
If you like the feel of the PSE's draw and thin grip I would suggest you look at the bow madness series and the vendetta. Much smoother and easier drawing bows and plenty fast enough.