Faith will move mountains, but knowledge will move them faster. The keys position within its range are randomly. You can proof yourself, just check the keys and calculate its position. That's no rocket science. Hint: look at puzzle 25, 31, 60, 63 to get a feeling of what a high position is and puzzles 38, 50, 85 to understand what a low position means There is no "narrowing the search range solution" for this. You wouldn't have solve the mentioned puzzle otherwise. The key positions for the known keys of today for this puzzle vary from 0.069 (puzzle 38) to 0.97 (puzzle 60), while disregarding puzzles 1-10.
Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense.