I think there are two possible problems with this strategy:
Firstly, whilst it would have been indeed much easier to produce, could Germany have produced enough of them to match Soviet production with Western Allied bombing and fighting in North Africa and later in France and Italy? At least Germany would have a qualitative advantage due to crew training.
Secondly, could Germany hypothetically had enough manpower to equip those tanks? I admit this is a lesser problem, as I would favour having one tank than 3-6 infantrymen.