I've played Inka a few times with 2 players and was starting to think the first player has the advantage (I still do in a 2 player game) so was glad to try it out with 4 players.
As it turned out, we had a couple of interesting things happen.
First, it turned out that the 2nd player won. In fact, pretty handily, the score was:
2nd player -- 3 statues
3rd & 4th players -- 2 statues
1st player -- 1 statue
Another interesting thing happened, I landed on a special icon and moved a target tile into a corner. The tile had another player on it, so they were effectively blocked from moving, because the only way to move a target tile is to land on the special icon, but they were blocked by walls and prevented from moving. Lucky for them, there was still a statue of another color on there, so another player moved the target tile a few turns later.