Double dribble?

[OHBBREF]

okay there is no player control during an interupted dribble, and a player may directly resume dribbling of the ball upon recovery as long as it is part of the same dribble. (didn't pick up the ball - didn't trap it on the floor, and pick it up etc.).
however my question is this; wouldn't the dribble end when the ball was touched by another player, offense or defense?

If a dribble is batted by a defender then recovered by the dribbler, they can gather the ball and dribble again. If the dribbler accidently dribbles the ball off of a teammate they can gather the ball and dribble again.

I do not see any difference becase there is loss of player control durring an iterupted dribble and the ball was touched by another player IMO ending the dribble.
I got nothing here.