At times, the Keeper can move an investigator a number of spaces. I don't think it's ever more than 3 spaces. I don't think the rules state that this uses up the investigator's moves for the turn. This means that a Keeper can move an investigator, and then the investigator may move. The total number of spaces moved by the investigator can exceed the maximum number of spaces that an investigator can normally move, which is three. Logically, it appears broken, since a running investigator can only move 3 spaces. So, the question is, could super fast investigators have an adverse effect on the game?

The obvious answer is 'probably not', since the keeper and the investigator will probably be trying to achieve different ends.

If the keeper screws up and accidentally moves the investigator in the direction they want to go, then it is their his own fault and he suffers for it. Nothing broken about that. It makes sense that the sort of magic and madness caused by the mansions could push a human far beyond their normal limits anyways.