I didn't have a single problem with it. I also knew of no one else in my friendship circle who even had a manual transmission, and they also had no problems traversing hairpin turns in the ice that could have you sliding off the edge of a 6,000 foot high mountain.
One could also argue quite legitimately that having automatic transmission in conditions like that allows one to concentrate more on the road itself, keep both hands on the wheel, etc. Same with start/stop city driving in congested streets. Even as somebody who learned with manual transmission, has been driving 24 years and is happy to drive manual, I find that automatic makes for far more relaxed driving in those conditions.
As for the part about lack of engine control on the car when slowing, that's one reason why automatic transmissions have low-gear lockout positions. If you're going down a steep, twisty hill knock it into "2" and the engine will hold you back just the same as if you changed down with manual.
Automatic gearbox's have improved dramatically in the last 20-30 years.
That's not to say that there weren't some great transmissions before. Chrysler's old Torqueflite is still extremely well-respected. I had one in a '66 Plymouth and you couldn't have wished for better -- Very responsive and silky smooth.