It's common sense/physics. If the CX-5 is only transmitting 50% of its torque to the rear tires...unless the driveline is locked up solid with worm-gears...SLIPPING IS OCCURRING. Period. Slipping generates heat.
I don't mean to be hard on you but you post incorrect info almost every day, most often multiple times a day. You still haven't explained the video clearly showing all 4 CX-5 wheels slowing spinning in a controlled manner while trying to ascend the wet sheet of polyethylene (even though it's video proof that all wheels are driven). Why do you say the CX-5 doesn't have "real" AWD when this video proof exists?
Your new comment above shows you don't understand how a common automotive open differential works. An open differential can only transmit a maximum of 50% torque to either wheel (or front/back in the case of an AWD differential). Yet nothing is slipping in an open differential, it's made of solid gears, all meshed together (using ring, pinion and side gears). The secret is there are two output shafts (either to left/right wheels or front/back wheels depending upon which differential you are speaking of). While gears have friction that generate heat, there is no slippage possible in the differential, including the f/r differential that is responsible for the 50% torque limitation (ignoring any heat generated at the tire/road surface interface where any heat generated is dissipated well away from any mechanical components). In summary, it's not slippage of the AWD clutch that is responsible for the 50% torque limitation, it's the mechanical fact that an open differential can only transmit a maximum of 50% torque in either direction (by design).
However, the CX-5 can apply brakes individually to a wheel (or wheels) it detects are spinning. While this can't change the fact that a differential can only apply a maximum of 50% torque in either direction, it does mean the CX-5 can apply more than 50% torque to the tread of one tire (by increasing the torque required to spin the unloaded wheel). This works particularly well on slippery surfaces such as ice where total forces are low (and would be an inelegant solution for rock crawling because the forces are high causing the braked wheel(s) to consume an inordinate amount of available power).
Second, yes, this is why every company has a special name for their system.
Yes, every company has a unique name for their AWD systems. The reason is MARKETING. While it's true the Jeep system you are discussing is more complex, more expensive and can direct torque more efficiently in high torque situations, it is not true that it's better for driving on icy roads. That takes sensitivity so as to not upset the delicate balance of forces and this is where the lighter, simpler system used by Mazda (and most other CUV's) really shines. I don't know what else I can say to get this through your thick cranium except to suggest you move somewhere with a lot of snow and ice 6 months/year and actually learn how they work in the real world.
If you do, you will come to the same conclusion that ALL other experienced snow/ice drivers have come to: In regard to driving on snowy/icy roads, all AWD systems work, it's really all about the tires. I'm never going to get stuck regardless of which AWD system I have but I might spin out at 40-60 mph. Therefore I want the AWD system that's the least likely to spin out on ice. This is how people die on icy roads. And the systems that maintain a more delicate balance have the advantage here. That's why I didn't buy a Jeep as a ski vehicle.