[Jim McDougall]

I think the munitions grade term would apply to the numbers of forms of swords with various configurations of saltires and shields in the 16th century (even latter 15th) through Europe and considered 'basket hilt' prototypes.

These were well known in England, and one in particular is this one found on the 'Mary Rose' which sank in 1545. While this one is mostly intact, there was evidence of at least two others like it or similar found in concretions. This suggests the military 'munitions' category.
In subsequent years these kinds of 'basket' hilted swords were also well known in the Netherlands, as shown in numerous examples in the paper by the late Claude Blair "The Early Basket Hilt in Britain" ("Scottish Weapons and Fortifications 1100-1800" ed. David Caldwell, 1981).

It is clear that these basket hilt types (which indeed inspired the 'mortuary' type half basket as well as fully developed Highland basket hilt (then called Irish) were well circulating in the times in question. Most of the examples in Blair seem to date around 1570s or slightly later, and likely the form or perhaps even actual examples remained in use or actively issued for some time .

The question is, as noted, what sort of 'basket hilts' would have been provided to the Tower in 1631. We can only guess they must have been of this form loosely followed, if Stone indeed produced them. Or did Stone, the clever enterpreneur simply provide stores of surplus swords from these earlier campaigns? The Hounslow enterprise was hardly well tooled by 1631 (the Germans brought there in 1629).
It remains a good question.