"No, that is not accurate regardless of what the public thinks."
Well yes Dragnet, I'm pretty sure that the public 'thinking' that the first word is Houston means that it is still the first word to the public, and my guess is that it will always remain so, at least as long as they think it is.
Besides, Bill Barry, NASA’s chief historian gives his position that because the checklist was part of a long-rehearsed procedural script, he is “inclined toward saying that the first ‘intentional’ words spoken on the moon were Armstrong’s report to Houston that they had landed.”
Being this was historic and recorded, we know what the first words were and the exact times they were spoken from the lunar surface which are depicted in #25, regardless of what the public or anyone else thinks or believes.
What the public thinks generally lacks details and are inaccurate. It's that same public "thinking" which elected Obama, thinking he would somehow be a good leader.