Please understand that I'm not taking shots at you, but when a forum like this is read by people of all knowledge and skill levels, issues related to safety must be debated vigorously by those who feel that the advice given is in error and potentially dangerous.
In this case, the part that scares me in the notion that engine braking via a downshift is safer than brake-braking under wet and slippery conditions. There are times when lifting off the throttle gently and letting the engine slow you a bit before applying the brakes is a good idea. It settle the car and transfers a bit more weight to the front gently. However, if you are going too fast for the current gear because the road is slick, then a downshift and engine braking is not the solution. If you are traveling uphill, then the risk is mild. On level ground it is not a very good idea, and when heading down a hill it is positively a bad idea. (Keep in mind where talking rear-wheel drive here, not to mention mid-engine) There is a very good reason why, even on mid/rear engine cars, the front brakes do the majority of the work. Safety. As others have accurately stated, as you decelerate, weight (and therefore traction) shifts from the rear to the front. Also, you seem to assume more difference in terms of lost traction than really exists between normal breaking and engine braking. For a given effective amount of deceleration, they are the same, but in engine braking you are using only two of four tires, at the wrong end of the car, and with little ability to modulate particularly on a downshift.
I'm sorry, but this is just plain bad advice without far more details of when a degree of engine braking before or in combination with regular braking is appropriate. I think I understand where you’re coming from and I too have been in tenuous situations where I tried to strike a balance between the two to get my car slowed down, but the idea of a downshift at those time is spooky.