Seems a bit odd that the TR and T are not struck out if the rifle was really converted to DP by a military force, rather than just being stamped by someone.

Also rather odd to have black paint on the side of body, but not on the butt socket. Presumably put on to cover the bare areas where the pads had been.

Overall, the wood and finish look quite original. I would wonder how a rifle could be worn to the point of DP status and yet never have been even refinished in workshops once?

Looking at photos like this one there is very little wear at all!

:

I wonder if this was just a T that was orphaned somehow and stripped of its pads to make it as close to being a standard No4 as possible, or made into a DP just because of its "odd man out" status as an ex-No4(T), rather than because it was worn out?

IRRC, there is evidence that other arms were converted to DP status because they were considered obsolete or non-standard, rather than because they were worn out.