I have a 625-8 JM Special and two friends have them. I have shot all three and they are our most favored revolvers. All of them shoot well under an inch at 25 yards off a rest with our own cast bullets (Mihec version of the H&G #68). Mine also shoots the original H&G #130 as well as the 250 gr Keith (NOE version of the 454424) just about as well.
I am sorry to hear that others are not happy with their JM Special. The only thing I have done to mine is to replace the springs with a spring set from Jerry Miculek (Bang, Inc) and have set the double action at 9.0 lbs and the single action at 3.0 lbs (my preference).
I did replace the grips with Pachmayr grips and use a Red Dot sight.
This was shot, standing, at 25 yards with the Mihec #68 (200 gr SWC) ahead of 4.0 grs of Titegroup.
FWIW
Dale53