From what I understand about the LDA, the myth that manual cocking of the hammer will cause damage, is just that....a myth. However, unlike a standard 1911 design, you can not cock the hammer, or rack the slide unless the grip safety has been disengaged first. That is because the grip safety lever actually blocks the hammer from any rotative movement. The hammer, lever, and grip safety are plenty strong, but if someone thought they had a stuck hammer, or slide, and decided a hammer would pursuade the offending part into submission, something would for sure get damaged.
But as was stated by bountyh, why would you need to cock the hammer in the first place?
anyways.....that's what I know about it so far.