I suppose so. . .but my take is different.
I think he has the “also ran” syndrome.
Always second. When mentioning who walked on the moon first, Armstrong is mentioned, when asked who was the second, far fewer can remember his name.
When Neil Armstrong received an aviation award in London (Guild Award of Honour), Buzz asked to see if it could arranged so he can receive the same award as Neil. . .nope, Royals said one was enough, the man that walked first om the moon and while being the second one to walk on the moon was notable, he wasn’t the first.
I still think of Apollo 11 and the Armstrong-Aldrin moon landing team as being equally creditable, almost like the equally credited Lennon-McCartney songwriting team of the Beatles or Jagger-Richards of the Rolling Stones. Yeah, I was 11 years old when it happened, but what else would an 11 year-old have thought? They even looked kinda the same in their space suits, and moon boots...Hey, that rhymes!