Not such a simple comparison, really. Many of those US pilots started life as 250 or 300 hour regional pilots; they've known very little, if anything, outside of their airline training. They may be flying for a legacy carrier, but if all they've ever flown is airline equipment doing airline operations, then the only comparison you could make is against other pilots who hired at low time and only flew based on company training.
Comparatively, however, whereas a pilot in Europe might require a few hundred hours to compete for an Airbus position, the same pilot in the US might require five thousand hours or more.
Conversely, few programs in the US utilize ab initio training programs. If you're going to compare Lufthansa to a US carrier, compare it to one with the same training progams, and then compare pilots of like experience within the company training program.
Companies such as Lufthansa, in fact, have excellent reputations and records. One can't really decry their training or performance. Likewise, Cathay with it's cadet training program doesn't suffer either.