My CT experience is limited to the Dunlop Wintersport, which unfortunately is no longer made in the 175/60/16 size usuable on the 1500.
I have put aprox 60k miles one 3 Wintersports so far, and just mounted up another yesterday. I love, love Love this tire. I have several as spares, and also have them mounted on friend's 1500 as well. For while I was alternating weekly between both my 1500's, one with CT, the other with (Dunlop E3) mcycle tires.
I originally went to a CT due to having multiple E3's develop Cracks, which I presumed to be due to Overloading. I have not had that problem at all, with the CT.
Advantages of CT:
-Run on Flat (Can go hundreds of miles on zero air)
-Higher load rating (something like 1,400 lbs vs 800)
-Hugely better wet weather performance (ex: Cannot slide rear wheel on wet paint lines, as when accelerating from stop, at intersections)
-Smoother ride (Perhaps due to being a Radial, rather than Bias for the E3)
-Longer life (~20k miles vs 10-15 for E3) for Center of tire.
Disadvantages of CT:
-Can't mount my own tire (eg Need a mechanical machine, due to the heavier side wall)
-Dangerous slides possible (see figure below) when approaching small raised edges at shallow entry angle. Easy to avoid, when you know what to look for.
-Edges wear out fast, if you do a lot of curvey riding.