As I recall... From c 1980+
When Betchworth Box closed out no groundframes were put onto Reigate Box - which took over the line as far as Gomshall - on the platform side of the engineer's crossover.
That engineer's crossover at Gomshall was normally clipped and locked out of use when I worked the Box. It's main use provided for terminating passenger trains when the line on one side or the other had a T3 Possession. Passengers were bussed around the Block from the remains of the goods yard. The crossover saw a small amount of use for engineer's trains at the same time.
The Dorking Town crossover could be used in a similar way - even with no Signalbox there - the working to-and from Betchworth being arranged by telephone in the P Way hut. Again the busses use Dorking Town yard to turn around.
As far as I know the points at Betchworth were clipped and locked out of use and retained for the engineers when the Box closed.
In my day neither Gomshall crossover nor the Dorking Town one had a groundframe - nor even a lever... they were swung by baring with a pinch bar.
That's for c 1980... I don't know what's happened since.
On the OP... At one time emergency points at least were worked at set intervals but, to the best of my knowledge, this stopped when PWay gangs and S&T gangs were cut back and centralised - because there were too many cases of the points not working correctly and causing delays... they tended to have very little actual use anyway. When they were going to be wanted for engineer's work they would get a sudden dose of grease and prepared for use. I never knew of a set on Southern that was used in emergency - probably because they might have caused their own problems.
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Thinking about it... It would probably have taken something like a landslip or bridge out for a long time for the emergency crossovers to be used - in which case the blocked line would be under a T3 Possession - and the gangs would be out to grease-up the points and work them.
Train failures would not count as a sufficient failure and would be rescued by assistance from the appropriate end - with a wrong-line movement round the failure, or back onto the front of it, when needed. Wrong Line movements like that were a PAIN! The preferred method was always to shove a failure through to where it could be berthed or run-around to get the assistance on the front.
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The Down-end, Up side siding at Betchworth was quite often used to stable engineer's stock, including On Track Machines at least as late as 1980 - edit - and more - probably right up to closure of the Box (In the bottom corner of the station house - with a knee frame) when I had mates working there.
I particularly recall this - because a few slight "discussions" occurred with TOPS because they never managed to know how many wagons were in the siding - and demanded that the Signalman went down to count them and take their numbers... They should have asked nicely.
Even when the train crew had left a list TOPS would argue about it... ineffectively...