It matters to start there because it will be easier if you go backwards.
The maze has 100 cells. For each cell, we can calculate which exit goes back toward the entrance, assigning the letters U, D, L, R:
U R R D L L R D L L
U L L D L U L L L U
R R U D D L L L L U
U L D L L R R D U U
U L L U D L L L U D
R R R U L R R R U D
U D R R U U R R D D
U D U U R U U D L D
U D U U D L L L U L
U L L U L R R U L L
Stats:
L - 33
U - 29
R - 20
D - 18
Left and Up are more frequent back-to-entrance escapes than Right or Down. This is because of the way the maze was generated.
To check the hypothesis, we should analyze it in the other direction. For each cell, determine the exit which heads in the direction of the exit:
D R R D L L R D L L
D R D D L U L L L U
D L L D D L L L L U
D L R D L R R D D U
R R U D D L L L U D
R R R R D R R R U D
U D R D L U R R D D
U D U D R U U D L D
U D U D R R R D U L
U L L R U R R R R D
Stats:
D - 30
R - 28
L - 24
U - 18
There is a weaker bias for the D-R axis toward the exit, compared to the L-U axis toward the entrance. I suspect if we study larger numbers of larger mazes, we will find similar findings.
So that is to say, it is easier to navigate the maze in the reverse direction: the heuristic to try left/up exits will work more often than the right/down in the proper direction.
