You may have to sheath the cables if they are not already in metal conduit or proprietary plastic tubing.
I was astonished to learn that two supposedly inert hydrocarbon materials like closed cell thermal insulation board and wiring electrical insulation could react.
Yet I have seen proof of it from an electrician on a job I took to site, when I questioned whether it was just for good husbanding of cable runs or was there another reason.
He showed me a piece of cable he took everywhere with him, which had non-melted beads off the wall insulation apparently "eating" into the wiring insulation, stuck to it and eroding it.
Wiring should be protected generally as it helps prevent short circuit from rough handling close to them (drilling and fixing items to walls and ceilings) and rodent attack.
Running cables inside your cavity wall is something I haven't come across before and isn't something I would normally countenance.
Insulation is placed within a cavity partly to protect it from damage and fire risk - what happens if there's a short?
Mind you if it was intended not to insulated it in the first place, that could have been an exception to the rule.
However for ease of fixing, repair, extending the circuits and connecting, internal routing is the norm.
ONQ.
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All advice on AAM is remote from the situation and cannot be relied upon as a defence or support - in and of itself - should legal action be taken.
Competent legal and building professionals should be asked to advise in Real Life with rights to inspect and issue reports on the matters at hand.