The quote from the RM site said it was recorded as serviceable in the inventory, so that isn't speculation, but the level of wear, or rather lack of it on the punch suggests it wasn't used extensively before, or even at all after it broke.
Hocking catalogued two volumes concerning the inventory of the RM archived material. Volume 1 in 1906 recorded the coins and tokens, whilst volume 2 in 1910 recorded the dies (including punches), medals and seals.
This 1711 shilling has the F of FR with an unusually long bottom. The bottom right serif starts to expand as it would on an E punch, and also extends beyond the centre arm which I can't find any examples of where the F is perfectly formed. Whatever, it is not a clean punch.The question is this. Is it a defective E punch, or has the bottom been reinforced using only a fraction of a punch in the form of a partial bottom limb only of an E? It is also possible that they started with only an I punch, with all limbs added subsequently. Up to the 1700s, there is frequent use of composite letters made from a few punches which muddies the water somewhat.
In the somewhat chaotic circumstances of the Civil War, there is a defective T or L(?) punch which doubles for T, L, I and the uprights of H. It's movement can be traced around the various mints, helping to establish the chronology of various issues.