Hahaha...my parents said when they were younger they called them "Fix It Again Tonys"
I'm not a fiat fanboy at all, but this jokes are just the expression of what a good car should be for an american v.s. an european.
American cars were used to be big and strong, hugely consuming, equipped with very low technology engines and with completely undamped suspensions.
From that point of view a fiat, was an alien piece of technology, and yes likely less durable than the average american car.
BTW time are completely changed the petrol cost, and environment matters, started to be concerns also in the US, while fiat had various techology milestones like the common rail diesel engine, invented at the CRF (the fiat research center) which revolutionized the diesel engines, or the new gasoline engines with the electronically variable valve timing which is again a world first.