I would expect a military Martini to have a crossed pennants acceptance mark on the receiver, at top left of the left side and on the barrel knox form. Since marks on the receiver are often worn away, remove the handguard and take a look at the barrel. No acceptance mark = not military.
Furthermore, the right side of the receiver would be marked with the crown, Martini Enfield, MK number, and the lock viewer's mark. None of these is visible in the photos (although it is theoretically possible that markings have been scrubbed.
Finally, a rifle that had been in Britishservice and then taken out of service would bear the mark that looks like an asterisk, but is in fact 2 WD arrows back-to-back.**
In short, I see no evidence that this rifle was ever a military rifle.
**And would be subjected to civilian proof before being released onto the civilian market.