Facebook was not created to make money. It came about from the era when people thought, just grow really big and figure out how to monetize later. It was not yet established that you could monetize something after making it big (which was a thing in the dot-com bust of 2001). It seems targeted advertising like a given today but back in 2011 (a decade ago, and not long after DoubleClick was bought by Google), this was still being established. It took a long, long time for FB to monetize.
To that end, you need to have been there in the thick of it. Back then it may have seen like it was fun and games. Playing silly “viral” “games” was a big chunk of how people were spending time, back in 2008.
But more than FB’s specific case, founder’s personas can be a bit unappreciated as the guiding hand in what happens with the company. We know that founder disagreements are a large percentage of startup failure. It really come down to the people, and their base impulses. Which is so trite and petty, but sometimes life just is.
I don't think this is a useful way to summarise it. You could say any business' main gig is not making money if you want to (this bank isn't about making money; we just intrinsically love signing people up to financial services!) I don't know if it adds anything, and I think it does subtract.