Ahhhhhhh. Thanks. OK, so actually I now see that single (one-finger) clicking makes it go away AND makes it come back. It wasn't actually fading on its own because of a fade out hideaway timer, it's just that I was touching the pages.
And I wasn't having success bringing it back consistently because it doesn't listen to clicks along the very top of the page.
And I wasn't having success bringing it back consistently because it doesn't listen to clicks along the very top of the page.