Hey Tom you are a genius!
I started off using Isopropyl Alcohol on cotton wool but found that an awful lot of pressure was required and the coating was lifting off painfully slowly. I tried warm soapy water but this did not touch it at all.
I then remembered that some time ago my wife bought some 'magic' cloths from the local supermarket. The're called 'No More Chemicals' and are a cotton cloth impregnated with silver. They are very smooth but somehow the silver helps the cleaning.
This cloth dampened with IPA cleaned the whole screen in under 5 minutes - it looks as good as new
Thanks for helping out!