No, Adrian, load of cr@p. Neither of the ME Senior Flight Instructors have any military experience, nor does the VFR CFI or either of his SFIs.
All you need to do to get ahead at Oxford these days is to fly all the hours God sends and remember not to log it after you reach the legal maximum. Whether you can teach or not no longer seems to matter.
If past experience is anything to go by, you will probably also have to be prepared to work illegally in the USA.