Looks like the name is far more confusing than that. Apparently, ‘football’ used to mean multiple types of games, soccer started out as ‘association football,’ and then a British public school took ‘association’ and turned it into ‘asoccer,’ which spread to Oxford and became common there and then everyone else started calling it ‘soccer’ but then they dropped ‘soccer’ in favor of just ‘football’ except in countries which already had a football, which was sometimes the same as rugby.
Looks like the name is far more confusing than that. Apparently, ‘football’ used to mean multiple types of games, soccer started out as ‘association football,’ and then a British public school took ‘association’ and turned it into ‘asoccer,’ which spread to Oxford and became common there and then everyone else started calling it ‘soccer’ but then they dropped ‘soccer’ in favor of just ‘football’ except in countries which already had a football, which was sometimes the same as rugby.
https://en.wikipedia.org/wiki/Association_football#Name
yeah, pretty much.