He never made the claim.
He stated he saw Page doing pull-offs with his picking hand over his head and thought, Hey, what if you used your other hand as a moveable nut?
Ed took this concept and REALLY ran with it.
To most, it was an entirely new technique.
To say Eddie popularized tapping/hammer-ons is an incredible understatement.
(Hackett didn’t remotely exploit the technique or popularize it.)
As an established technique, it is Edward, Edward and only Edward.