Very good information on maintaining and driving an automatic-geared car! Careless driving and maintenance is what destroys most designs, no matter manual or auto. It's just that some things are design more "fool-proof" than others and may seem indestructible (like the C-series engine).
There are two things in your post that I don't fully agree with (minor things really). Having grown up in a country where there's snow&ice 4-6 months a year, I can't resist posting some of my own thoughts on winter driving!
"- Better on the snow and on the ice, because you haven't a sudden torque from the clutch."
-> Here in Finland many people don't like the idea of driving an auto-box car in the winter mainly because there IS no clutch! Remember, an ordinary clutch is not on-off, and you can in fact adjust the power transmitted to front wheels quite accurately with it.
A good thing about (conventional) autobox on snow&ice is that there is no engine-braking effect; If you downshift to too low a gear in manual car, you can accidentally "lock" the front wheels on a slippery surface. With autobox you don't have the danger of this. However, if you realized you've locked the front wheels in a manual car, you'd of course instantly shove the clutch pedal to the floor to "free" the front wheels.
"- And you can leave alone the car in "D" to push it from the left door side to assist it to save itself from the snow (I did it)."
-> This is very questionable and poses a risk of damage to either driver, car or other people. You may yourself slip and fall in the snow, and if the front wheels bite at the same time, who knows what can happen... Particularly risky if you do the same in "R" (the open front door can catch you).
If there are no people around to help and push the car, you can try to save the car from snow in some other ways first:
If there's a thick layer of snow, try to remove as much from it as you can from under the car and front of the wheels. Having a (snow)shovel in the boot is always recommendable (I haven't one...)
If the front wheels have already dug into snow, you can try to "rock" the car back and forth by carefully applying throttle (and clutch). This can only be done if there is at least some initial grip; When the car's moved a bit forward trying to get up from the pits the front wheels have dug, and just before you get wheel spin, release the throttle and depress the clutch. Now, the car starts rolling backwards (remember you are trying to go "uphill" from the pits). The kinetic energy will move the car past the lowest point of the pits and some way to the opposite "hill". And when this backward roll has just ended and the car changes direction and starts to roll forward again, lift the clutch gently to serve power to the wheels. Now you have some initial speed from the "downhill" and you just may get out of trouble. You can rock the car back and forth like this several times to get more initial movement.
To give more grip to front wheels, put a rag or something (like rubber floor mats) right in front of them. This can give the required extra grip to get you out.
Furthermore, you can lower the air pressure in the front tyres. This gives more contact area to road providing improved traction. Remember to raise the air pressure at the next service station.
If all this (and the "car-in-D-and-push") doesn't help, then it's time to start searching for help (walk to a nearest village or call some help on the mobile)...
I once spent 40 minutes digging my car out of snow, minus 10deg C, chilling wind, dark, no-one in sight. Driving alone from a town to another, I turned to a snowy backroad to stop (for a leak

). Turned out to be a bad mistake, since the snow was just a little too thick. The car was raised on top of the thick layer snow and when I stopped, there was no longer enough weight at front wheels!

So I cut a branch from a tree and started poking with it to remove the snow from under the car, to get the front wheels in proper contact with ground again. Which wasn't nice...
BTW, right now there's almost no sight of snow even if it should be the coldest time of the year! During Christmas holiday, it was -20deg C but then, overnight, it changed to plus degrees. Now it's raining outside and streets have turned into one big slushy mess...