There is no video release with "...a dangerous mission for a woman" (other accounts say it was "for a girl"), and to my knowledge no print has ever surfaced with the line.

In fact, it's been somewhat of a point of contention whether the line was ever longer than it is now. On an animation forum back when the 2006 movie box set came out, someone claimed to have seen a print with the line at a George Eastman House screening in 1978. But Fleischer historian Ray Pointer doubted that the line ever existed at all, and asserted that no print has ever turned up with any such extended line.

(I seem to recall that Pointer discussed it again on the late, great Animation Show Forums, but since the entire forum was shut down several years back, and not all of it was archived by WaybackMachine, that thread seems to be lost to the ages.)

Yes, there's an abrupt fade-out, but Pointer said he could not detect an audible soundtrack edit, so it could have just been a sloppy fade that was there originally. For all we know, "for a woman/girl" could be a complete myth, like Luke missing his first grappling hook swing, or the shot of Anthony Hopkins' scalpel actually cutting into Ray Liotta's brain in Hannibal.

We will probably never know the answer.