I disagree on this point. If you are facing an enemy that has fielded a lot of armor, then adding AT to your INF divs is still a good idea even when it cannot, on paper, pierce the enemy armor. The thing is this: armor rating is dependent on the number of tanks present. As the enemy's armor units take losses due to combat and attrition, the number of tanks in each division will fall, dragging down the armor rating with it. Having AT in your infantry formations speeds this process, since the AT guns will still kill some tanks even when their piercing is too low to shed the armor/piercing malus....yet. But as you reduce the enemy's number of tanks, eventually their armor rating will fall to below your infantry divs piercing. And then the enemy had better withdraw those armor divs until they get replacement tanks, or expect to see them get thrashed by "mere" infantry.
You misunderstand me, what you describe is basically what I was stating. To try and restate it more clearly, I meant that if the piercing in the division is insufficient to piercing a tank division at 80-90% strength (the range a frontline division would be at after combat) then there was no point in them using the AT guns. Thus if you can't piercing a division with 65 armour that's been battle warn (so maybe 58 effective armour) then you shouldn't have bought the AT.
Well the x4 damage advantage when surpassing defense values quickly does become significant in situations when badly outnumbered though.
If we for example look at either Infantry+ Artillery and use 120-160 width worth of these (2-3 direction attack) overmanning a single 40 width tank/mec/mot division (when you stretch your enciclement to the limits) it should take significant damage.
Or if we use Tanks with SPGs instead which has lower HA values but higher SA so that the hardness added by MEC plays a bigger role.
I do agree with the basic conclusion here that Mechanized focused divisions are most of the time not worth their cost though.
Well a quick calculation (still don't have time for a better one, maybe in a couple hours or so) 160 combat width of infantry+artillery would have to exceed ~1100 soft attack (closer to 1000 if they have reasonable hard attack) to break the defence of the posted Motorized division. I'd have to do more in depth number crunching if I were to provide more insight though.
The other thing to keep in mind is with the motorized you can have just about twice the number of divisions [than mechanized] which is itself a huge boon.