I'm unclear on what you are correcting. I didn't state he was the first to do a lunar orbit in his own spacecraft, but he was the first to do it without any other nearby craft. As far as I'm aware, the lunar module and the command module were never actually that far apart during Apollo 10. So while they were separated, the distance between the two was measured in hundreds of miles rather than the thousands of miles that was true during Apollo 11 and the later lunar landings.