It really is crazy. Defender on goal line sticks out a leg to stop ball entering goal. It deflects to an attacker who was in an offside position and he's offside. Defender makes exact same movement ten yards from the goal and he plays the offside player onside. Or if he's ten yards out when he sticks out the leg and it would otherwise have been a goal, does that make it a save?
"Deliberate", "save", difference between rebound and deflection, and the sheer grammatical incompetence of the wording * make this a recipe for inconsistency. Do we have links to where "IFAB have confirmed this interpretation on several similar scenarios in the past"?
* “gaining an advantage by being in that position” means playing a ball ..... that rebounds, is deflected or is played to him from a deliberate save
by an opponent having been in an offside position
I'd like to think the recast laws would improve things, but I doubt they will.
(And that's without the German version of the laws which has (literally) "a ball ..... that rebounds, deflects or is played to him in a deliberate defensive action by an opposing player" - which implies that a misplaced defensive header doesn't reset offside.)