While the product page says it fits "iPad 2" it does not say that it does NOT fit iPad 3. Further, when this fold-up keyboard first released it was misleading because they did not clearly state that it did not fit the original iPad because it is called the "Fold-up Keyboard for iPad" -- several reviewers called the out. The system requirements for the product again say "iPad 2" but do not specifically note that the other iPad models are incompatible -- many take this to mean that perhaps the page simply has not been updated for the new iPad.
Can you provide a link to where on the logitech website it says it "does not for with the new iPad"? I found no official statement, only comments in Logitech's forums from users: