I've had a similar rifle come through my hands a few years ago, I came to the decision that the TMH might possibly have started life as as a Canadian Arsenals TMH, due to the total lack of any NATO stock markings.
I believe the Canadians never marked their TMH's??
Re the deep numbers, I recall our Peter mentioning that reissued TMH's had the original S/N number panel machined out in an oval panel, with the replacement S/N added in its place as a base workshop repair.
I've two rifles with re-numbered TMH's done exactly this way.