I am wondering which references and resources you have consulted in your studies on Scottish history. The Scottish 'upheavals' were not just the '45' which ended at Culloden in 1746, but Jacobite uprisings which had resulted in other notable events from the 1680s through the 1715 uprising. You should know that the 'Jacobite Rebellions' and followings were not confined to Scottish Highlanders but many Lowlanders, English, Irish, French as well.
Scotland and Ireland, much of the border regions of northern England have always been Gaelic speakers. My great grandparents were Highlanders who spoke Gaelic even when they arrived in Canada and as they emigrated to the US. Naturally the craftsmen in Scotland would be Gaelic speakers, and of course their work was intended for other Scots.
The notion of anglicized 'urban' craftsmen? Scots were hardly 'anglicized' , quite the contrary, and though after the uprisings there was of course a good deal of accommodation toward dealings with the English, craftsmen as a matter of business produced weapons for Scots now serving in the British army. As I previously indicated, Glasgow and Stirling became 'garrison' towns so military supply was of course from many Scottish makers in these regions.
Keep in mind, the 'craftsmen' you refer to who were situated throughout Scotland were involved in production of numerous wares in addition to weapons and related items. It is important to understand the term 'cutler', who in fact produced edged weapons by assembling components, with the blades from other sources. Craftsmen, including jewelers and toy makers also engaged in cutlery, which by the term alone reveals also eating utensils were included.
No there were not a great many manufacturers in England producing Scottish style weapons for Scots in British regiments. As a matter of fact, the only makers of such 'Scottish style' weapons were Jeffries and Drury of London, partners, with Drury taking over later in 18th c. Jeffries began production mid18th with Scottish style hilts for infantry.
The illustration is of one of Jeffries hilts c.1750s of form used by the 42nd Highlanders (Black Watch). This example has a curved M1788 light cavalry blade probably mounted in 1790s after British infantry ceased carrying swords.
The basket hilt in my previous post (with the oval aperture) is of Glasgow form and made in Scotland for British dragoons by a craftsman likely in those Highland regions c. 1760, possibly earlier. Most such hilts were made in Scottish shops, however there are indications of some with English rather than German blades.
The next example shown has a Scottish style basket, but the blade has a fluer de lis mark, which was actually sometimes known used by English cutlers. However, it is possible the blade might be indeed French as there were Scottish forces assembling there before Culloden in 1746.
There were actually very few producers of munitions grade swords in England until towards the end of the 18th century aside from those in Hounslow and later Shotley in the 17th century. During the 1790s, it was noted there were only three blade makers , possibly 4 or 5 throughout England. With the introduction of regulation swords in England in 1796, those numbers began to expand notably.
Keep in mind that officers had their personal swords assembled by various cutlers and outfitters, so the numbers of their weapons were quite a different matter, so here there were exceptions to the rule as far as sword production.
Most of what I have noted pertains to arms for rank and file military components.
I hope all of this will be of some help. While most of what I have noted comes from many years of interest and research, naturally I am still learning myself. I always look forward to any corrections or additions from others reading here, as that is part of the learning.
BTW, in responding please dont attach my posts as quotes OK, they tend to be pretty long

and a bit too much on the band width here .
All best regards
Jim