My MP (Nick Palmer, Labour Broxtowe) couldn't sign the EDM for some reason, which I can't remember and haven't got his email to hand. Anyway, he said he would write to the MOD instead and raise the issue with them.
I received a letter from him yesterday, enclosing a letter from Adam Ingram with the exact same wording as Smartmans message above.
No doubt everyone else will get the same exact response.