Can you say you are something just because you cross the finish line?

One of my friends completed the Ironman on Sunday. She posted about the experience and stated that she is an Ironman, However according to the official results she got a did not finish due to not meeting a cut off. If you cross the finish line are you an Ironman regardless or to you actually have an officially results to be considered an Ironman? Do you let her think that she finished with results or do you tell her she did not finish according to the official results?