I´ve read it again and again and finally I would still say "yes" to 1......but
As it is mentioned.... it´s no MOVE by the miniature itself rather than it´s allowed to displace the LOF one square in front or to its side .( from where the targetsquare MUST be in the traced LOF .....I guess from preventing the player playing snooker

.) That´s why the mini suffers no covering or suppressing fire
AND ranges are still counted from the occupied square.
So in words to get an image, the trooper stays where he is without showing any part of body or arm, throws the grenade practically in an diagonally 45`arc which then bounces off the wall and jumps or rolls the remaining squares to the
Nightmare.So the -1displaced-mod is in this case "somehow" equivalent to the -1/corner LOFmod for normal ranged attacks.
Then, in relation to the displaced LOF,........if the * marked square would be occupied by any miniature , the troopers throw-roll would get (as mentioned on p.28 as " All roll modifiers apply") an additional -1/ interposed figure or -2/
Assault Fiend(p.22)LOF modifier. So he evenly could throw through /over multiple figures, like in a normal throwaction. But making it very hard to hit the target square.
Generally I would say that a trooper don´t need to see an opponent or friend directly to know where they exactly are positioned around him....they are just represented in the troopers vision tactical HUD as green or red dots.....and for the Machines it is the monitoring Overlord-Computers information exchange ability. That´s why hidden movement or ambushes are almost impossible.The players are always able watching the opponents move.
The other point is,being hypothetical picky

if there would be a protuding arm (which I was thinking about too while starting the thread) entering physically the *marked square able to prevent a mini to be placed there (or vice versa)... the range really should be measured
(which isn´t allowed)from the square where the grenade leaves the throwers hand ... reducing the range to 3squares , also making out of the "around the corner bouncer" a straight flyer.
And not less important , this "protruding arm-maneuver" should then also be allowed to be used outside a corridor in large room where you then would be able to choose the most unobstructed flightpath for your grenade into a crowd of opponents........ but I believe that the rule as it is written is intended to be used only in corridors......
But on the other side it should still be possible for a trooper situated in a doorframe of a big room to throw a grenade into that in, for example ,an 90´arc which means that there would be no wall where it could bounce off.
Meanwhile I believe that the truth lies somewhere inbetween.
For example. In a corridor where troopers can use walls to influence the flypath they may remain completely where they are. They may throw displaced through other figures with the regular -modification and get no covering nor suppression fire.
In a case like a open room they cannot use the walls to influence the flypath but must protude( I really like that word

) their arm and lean out of cover to be able hitting the target square. Here, I would agree that it would take too much space for the arm and a additional figure ,but because the figure has to expose itself it can be taken under covering and suppressing fire.
What do you mean?