It is my understanding that the "NFA card " is required for use of any NFA item in Massachusetts, including Law Enforcement in the performance of their duty. So over 95% of holders are LE or former LE. There is an out of state LTC, but there is no such thing for NFA in MA for non residents. So there is no way for nonresidents to bring their machinegun to a shoot in MA. Like most everything in MA, it is based on who you know.
As a member of the Pelham F&G Class III Committee, we have had a few members with machineguns from MA. They have said that they had to apply, be interviewed, and approved by LE, in the town inwhich they live. I normally work in the Boston area, but I live in New Hampshire.
The oddest thing associated with the NFA card is the holder of the card can order a brand new rifle with all the knotty features, as long as it is an SBR. But rifles have to be pre '94 to have the same knotty features and they can't transfer in AR style pistols.
Scott