Points run throughs do not tend to happen out on the mainline for the reasons stated, so forget about ARS and interlocking. On the mainline a route has to be set and proved before the protecting signals can be cleared, and once that happens that route is locked-in and cannot be altered except by cancelling the route, waiting for the system to time-out and resetting it.
Where points get run through is where they are not interlocked with the signalling, such as in yards, depots and sidings or where worked locally from a ground frame. These events are often caused by either poor communication between the shunter and driver or insufficient vigilance when setting the route or when taking it.
We've had one or two at Orient Way where either the shunter has set the road incorrectly or the driver has made a mistake and taken a train off the wrong road. Even though the points are power operated they are set locally by the shunter. It is the responsibility of both the shunter and the driver to ensure that the route is set correctly for the movement in order to prevent any incidents.
O L Leigh