This is a bit misleading. It does preferentially flow along the shortest path, but not exclusively. It will indeed spread out. It takes all paths with a current proportional to their resistance, not just the shortest path. The percentage of total current that isn't flowing directly along the shortest path is still very significant.
Think of it as a bunch of resistors in parallel. The shortest path might be 0.1ohm, and the longest path 10x longer at 1ohm, but current will be flowing along both of those paths. If 1A is flowing down the shortest path, you will still have 100mA down the 10x length path.