But then it’s not a maze you could exit. Or enter.
Any maze that has an entry and exit must be navigable by following a continuous wall.
Yes, some continuous wall, but not an *arbitrary* continuous wall (which is what your Post #19 implied by the the phrase “... a wall, left or right...”).
For example, you enter a maze and find a rectangular room in front of you that is disconnected from the rest of the maze. You enter that room and put your hand on the wall. If you follow only that wall you will just go round and round the room, both inside and outside the room.