It would be very easy to have a tiny slot in the edge of the cupboard door, drawer front or whatever for the cable to come through when in use, with the door or drawer closed!
It (or, more to the point, people's perceptions and misconceptions about 'it') certainly sometimes seem to have 'gorn mad', but in this particular case I might have a fair bit of sympathy for the 'minor details'
Personally what I would suggest doing is having a fixed flex and locating one of the sockets on the mobile unit so it could be used as a place to store the flex when not in use.
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