I've said before that the oldest mention of "shot on goal" I've seen was in a late '80s episode of Cheers. Norm Peterson says it while watching ice hockey, so it either started as an American thing or an ice hockey thing
The difference is, in that sport (and in soccer), the goal is singular. There is a goal. Footy is noticeably different, there are the goals. There are the goalposts and also, the point posts. So it's why we've always referred to it as "towards the goals". Plural.
The other factor is the insidious, and to me pathetic inferiority complex some commentators have and their insistence on inserting terms from American sports into footy. Russell, Taylor, and Healy all started this decades ago. I've said it many times, anyone who utters "from the paint" in association with footy should be executed in front of their family. So any term used for any other sport, if it's got vaguely US connections, those clowns have, will, and do use it.