you sure grey is the earth, convention these days is black earth and grey neutral however in the early days either way was often used
edit just see pics and some are different
I will open up all the junction boxes and double check, but I'm pretty sure the SWA that has grey, black and brown are the only ones in the garden as they are "extensions" of the original C1 circuit and were added when the underground junction boxes were moved above ground. Based on the photos I posted above for junction boxes J1, J2 and J3 on C1, the grey wires are consistently connected to earth.
You are correct in that the original wiring in the Garden wiring box is done in the way you say; black - earth and grey - neutral.
I could change the wires being used in junction boxes J1, J2 and J3 to be the same, but I'm 99% sure none of these particular wires go back to the Garden wiring box.
Thanks for pointing this out.
Edit: Looking at the photo of the Garden Wiring Box, circuit C1 is the third cable from the right. The SWA wires for this cable are coloured green/yellow, light blue and orange/brown so this particular SWA cable does not have a grey wire.
This SWA cable feeds the underground 3 way resin jointing box on C1. From this jointing box the same SWA (green/yellow, light blue and orange/brown) runs to J2 and I see in the image of J2 the same colour wires. Also from the underground jointing box is a short run of SWA which has wires grey, black and brown, feeding J1.
In J2, the green/yellow earth from the "supply" SWA is connected to the grey of the SWA that runs to J3 and in both J2 and J3 the grey is treated as earth.
So, while I take your point that ideally the grey should have been used as neutral, it is consistently being used as earth in J1, J2 and J3.
While I could change this in J2 and J3, it isn't possible to change it in J1, since the SWA feeding that junction box is connected to the buried resin jointing box, in which grey is connected to green/yellow.