AFrotary,
Unfortunately you will have to provide the full DEP requirements for an application and BA will not look at your military experience 'per se'. As discussed above the DEP 'Managed Path' was an agreement between the military and the CAA as to the necessary requirements of ex military pilots to gain (f)ATPL status. This allows the applicant to interview whilst still in the ATPL training process and whilst still leaving the MOD.
BA are willing to forgo the necessary licensing requirements for interview only (successful applicants will still be required to hold valid EASA licenses for the sim checks) to allow UK military personnel to attend the interview stage without the licenses being 'in hand' so to speak.
You can speak to your governing body to see if there are allowable exemptions for you through your authorities but you will need to attend an interview with the (f)ATPL(A) in hand I'm afraid.