Did Donner really create the Lethal Weapon director’s cuts?

I know that the extended editions of the movies are billed as “Director’s Cuts”, but there is so little new footage added to them, that I wonder if that term was used for promotional reasons only. Now I’m not saying that that all director’s cuts need to have a lot of deleted scenes added back in to qualify as a “Director’s Cut”, but LW2 only had four minutes of new scenes and LW3 only had three minutes worth of new scenes. Even LW only had seven minutes added back in. Another thing that strikes me as odd is that, while the new scenes are interesting to see, they don’t add anything to the movie. The added scene in LW where Riggs takes out the school yard sniper is basically just telling us the same thing that the scenes at the Christmas tree lot is telling us (that Riggs might be crazy, and doesn’t care if he lives or dies), therefore making one of the scenes redundant. So adding these deleted scenes back in hurts the pacing of the film (except maybe the new scene in LW2 where Leo is trying to remember the address of the drug dealer’s house), and seems more like something the studio would do to get customers to “double-dip”, than something a director would do. The only reason why I might think Donner really did make these versions is because they’re billed as “Director’s Cuts”, not “Extended Editions”. So what do other people think? Did Donner really create these alternate versions, or are they purely a studio creation?