Quick update. MMI screen has continued to hibernate, making occassional half hearted attempts to join in the fun of my daily commute. I have received the replacement cogs and now have one in brass and one in steel.
I've booked the car in next week to be 'done' having decided not to try it myself.
The steel cog came with some fairly clear looking instructions so fingers crossed the cog is the problem and the garage are able to get my MMI screen working again.
I'll post back afterwards and if the instructions prove to be any good I'll add them to my post.