I wouldn't call it WEAK, but it is weaker than the C4 when it comes to heavy duty or high torque/HP applications. It just can't handle the load is all. From what I have seen in my 73's C4 (during the rebuild), and the comparisons in the haynes overhaul manual, the way the C3 is constructed, it would be weaker. The C3 seems to have more separating parts, thus needing more fasteners to keep them together or in place, when compared to the C4 which has more cast solid parts, eliminating the excess fasteners and making things stronger.
If you have to use a fastener to keep something together, it is going to be weaker than something solid. For example, floor pans. The structural integrity of our cars is very reliant on how solid the floors are. If you are going to secure a replacement floor pan with screws, it is going to be significantly weaker than a welded or original good condition floor pan. Imagine being in a T-bone accident in a Pinto with sheet metal screwed in for floor pans vs. original good original flooring. The screwed in metal would most likely pop out/up, allowing more of the car to buckle in towards the center. If the floors were solid and original, the floor would most likely buckle, but for the most part all of the metal would stay intact, keeping more of the car from buckling inwards.
Am I making any sense at all? I think.....
EDIT: Forgot to add. I believe the C3 would be fine on any of the cars ford put it behind while it is being used as it was intended to. Continuous hauling or any type of high performance upgrades done to the car and you would want the C4 or even a C5 which is essentially a C4 with some oil gallery mods done from the factory (it also uses a slightly different valve body but it is backwards compatible with C4 valve bodies). If you planned to haul a trailer behind your Pinto and you told the dealer than when purchased, I am sure they would have recommended an upgrade to, or to choose a car with a C4 transmission if they knew about the C4s advantage in strength and durability.
I suppose a better explanation for the C3 would be that it isn't as DURABLE as a C4 is.