Our NX screen coating was gradually damaged when the car was valeted (I no longer let anyone else clean the interior of our cars other then the dealer vacuum at servicing). By the time I realised it was happening it was too late (it started lifting at the edges). The anti glare is very susceptible to common interior car cleaning materials. I believe there was an admitted fault on some IS screens but that may have only been in the USA. When it happened on our NX I complained and got nowhere. So I just went to the valeter, asked what he used, bought some myself and used that on a micro fibre cloth to remove the rest of the coating. Took a while but it all came off. And once it was completely removed I could not notice a difference between when the coating was undamaged versus completely removed.
As long as the underlying screen surface is not damaged you should be ok. IIRC the product was Frogchem silicone gloss. Hope that helps.
Cheers,
Paul