I received a reply from one of the contacts in the MA Northeast Regional 4-H Offices. No rationale given. Just a plain response...
"Our state director will not allow shooting sport clubs. We do offer archery at many of our camps, but no clubs that focus on shooting sports. It is allowed for anyone to belong to any club in any state, so I can only suggest trying CT, VT, NH for clubs that may be close enough to wherever you live to join."
At my daughter's school, they do have an after-school archery program, but it is so popular that they had to turn her and other kids away due to under-staffing.
Maybe someday the state director will have a mindset change (or retire) and MA can finally have a 4-H Shooting Sport Club... but, I probably shouldn't hold my breath.
So with that said, I am now looking into help filling a Jr. Club vacancy at my locale gun club (Westford Sportsmens Club) to give the kids a chance.
Regards,
Wayne