The pressures of the JDJ ar not the problem, it's the bore diameter. the 38-88 bore is .375 but the lands are .377. The lands of the 375 JDJ and 375 Win are .375. You would have to have special dies and could only use bullets for the 38-55.
Basically a real pain. Better to work loads in the 38-55 to near 375 Win levels, in my book.
