Specificity, when you use concentric your concentric strength improves. When you use Eccentric your eccentric strength improves.
Also about CSA, yes, increased CSA increases the amount of FORCE the muscle can produce, but strength itself also has to do with Rate Coding, Frequency, other neural factors, leverage, specificity, nutrition, fatique, among others. So even though we can ID force production by CSA we can't entirely ID true Strength by CSA.
Available force is also variable based on how many cross bridges are formed, length of muscle (Length Tension Curve), diameter of fibers (as the muscle is lengthened the diameter of the fiber reduces making full activation during crossbridging more difficult because of the lessened room for myosin head tilt).
Suffice it to say that more trauma is produced by Eccentric actions than concentric actions. More trauma means more remodeling of the sarcomeric structure.