It seems a bit disingenuous to omit Apollo 13, which failed on the way to the moon. The fact that it failed well before the landing attempt, speaks to the difficulty of even getting to the point where you can consider a landing.
That's your opinion. I don't consider it "disingenuous", rather focusing on the act of getting a manned lander from orbit down to the surface of the moon. 6 tries, 6 successes.
That's completely fair, it's definitely just opinion as to what to include. Getting to lunar orbit can reasonably be considered a separate challenge to landing, so it might make sense to separate them.
In that case though, I think Apollo 10 should at least be mentioned in some capacity, as it was a dress rehearsal that came within 16km of the lunar surface, and tested much of the lander's systems. Not listed as a failure or success, just mentioned, as it's a very relevant test.