Elekie doctor's comments appear to have been spot on.
I did a bit of experimentation today and found no evidence of a problem with the towing electrics - or anything else for that matter! After a settling down period (around 20 minutes), residual current was only about 20mA. It jumped up to (and stayed at) around 500mA with the key fob close to a front door, and it settled around 200mA with the key a few feet further away. With the key taken completely away, it dropped to around 160mA for perhaps 20 minutes; then falling to about 20mA, where it stayed indefinitely (unless I brought the key back, or opened or closed the bonnet latch - then temporarily back to 500mA, etc).
Pulling the towing fuses had no effect at all (although pulling the dome fuse at the 160mA level immediately took the current down to 90mA).
So I'm thinking now that perhaps the only problem is that I don't drive it enough (which, by any normal measure, is true) and that the battery cutoff switch I fitted a couple of years ago is the right solution.
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