No, my head's not spinning.
But then I am ignoring all those "test results" that you cite. I've already said that they don't make any sense to me. Forget them, and you'll be better able to cope with the problem.
While the standard Model A is probably stronger and more forgiving than the Super A, my personal opinion is that either model (when in sound condition and properly fitted) is adequately strong for use with the currently available NC Largo.
Because NC Largo is loaded very similarly to .38 Super, the only real issues concerning the use of .38 Super in Star Model A or Super A pistols are 1) whether your pistol is in mechanically safe condition, and 2) whether your pistol's bolt face and barrel hood were opened up to reliably feed and function with semi-rimmed cases (some are, some are not).
You say your pistol was made in 1950; I would not recommend that ANY ammunition be fired in a surplus pistol 58 years old until it has been carefully examined by a competent gunsmith. Many Star pistols are military surplus, often used hard and put away wet, and frequently found with replacement parts that may or may not be correctly fitted.
Without disassembling and examining your particular pistol, I can't answer either of those questions for you, nor can anybody else on this forum. Pay a gunsmith for his knowledge and experience, and let him tell you.
M