For Jonathan's benefit, reverse direction controls allow the crossing sequence to operate correctly if a train approaches in the wrong direction, though only at a much reduced speed which is indicated on the wrong-direction approach by a horizontal rectangular white sign with a black speed number and an "X". No such sign is visible at Athelney on Bing maps, but unfortunately Streetview doesn't include the shot down the line which would confirm absolutely that there isn't one.
Para 65 states:
"The strike-in treadles ... were of a simple design that was unable to differentiate between operation by a train travelling in the normal direction and one travelling in the opposite direction".
Para 87 states that treadles on crossings such as Athelney are being replaced by versions that discriminate by direction, which would apparently prevent a wrong-direction move causing the "out of synchronisation" condition that led to the barriers to be down for so long. Reverse direction controls would be a more expensive way of solving the same problem but would also allow the crossing to work automatically during single line working.