The military managed path, RAFCARs as it used to be known, has a long lead in time for the participant. For example the process starts when the applicant is within the last 2 years of their military service.
Oddly enough it is quite tricky getting an EASA licence on anything the military flys except for the Voyager which is run by a civvie company! The RAF managed to spectacularly mismanage the alleviations process from National to JAR to EASA. Go figure.
BA has a history of sourcing from a wide variety of backgrounds, Cadets, Self Improvers, DEP's and Military. Given the large amount of ex-military pilots in the mamangement food chain I wouldn't expect that to change even though the source of ex-military pilots is slowing to a trickle as the vicious defence cuts over the past 2 decades take their toll.
As the recruitment of Managed Path applicants often runs non concurrently to DEP applications there can be no correlation between the two. The process only allows direct access to Braincrank for interview, often without a valid civvie licence. The application process and timeline take this into account.
I'm sure that non-type rated re-applications will occur if and when the flow of necessary type rated applicants is exhausted. Rumour has it that, for reasons given in a previous post, the number of overall applications wasn't overwhelming!