I understand the sentiment here but there are some distinctions that have been well and truly lost. There used to be a firm division between fitters and cutters, for example, with some expert at one task but hopeless at another. We are seeing a return of specialist fitters but really because of necessity (tailors who send garments back and forth to be made up along the way). Making, too, was often not done by the cutter but another team of specialists (pocket maker was once a job in itself). This model has changed and so our terms must, too, or at least let's not fix them prescriptively. I think we all know what these companies are getting at. I doubt anyone is being deceived and expecting one thing but receiving another. Whatever you call yourself, in a business in which you provide a considerable service along with the goods, it is the quality of that service and an effort to make the customer happy that counts and ought to be the focus of our attention. P Johnson is held out as providing that to a high degree. Dispute about that might be a real gripe and not an exercise in pedantry.
PS Let's also not forget how culturally specific these terms are. Tailoring in Italy takes on a different model of manufacturing from, say, in the UK or even HK.