That is all true, but they might still have agreed to name it after Larry Page - I'm certain they all had a sense of humor
Compare the αβγ paper:
https://en.wikipedia.org/wiki/Alpher%E2%80%93Bethe%E2%80%93G...
https://en.wikipedia.org/wiki/Alpher%E2%80%93Bethe%E2%80%93G...
Interesting to me, as I thought it was Brin's idea, and 3 people worked on the paper.