Lot of work and money for not much
Ballistic by the inch took a single action 357 set it tight against the cylinder with various length barrels
then at .001, then at .006. here are their actual results with a 4" barrel
Cor Bon 125 357 No gap-1246fps, .001-1197fps, .006-1184fps
Federal 158 hydo shok No gap-1282fps, .001-1224fps, .006-1211fps
The 125 lost 49 fps in the first .001 and 13fps in the next .005
The 158 lost 58fps in the first .001 and 13 fps with the next .005
I doubt closing your gap from .009 to .004 will gain you 14fps
In order to set back your barrel a smith has to remove it, turn .0277 of the shoulder, then remove .0247 off the face of the barrel extension, recut the forcing cone and reinstall the barrel. He will also have to remove .0277 off the end of ejector rod and center pin as the barrel lug will be that much closer to frame. Depending on method he might mount the barrel before trimming and re cutting forcing cone.
All for 14 fps which is less than the extreme velocity spreed on good ammo
I have done it several times BTW installing and setting up barrels
The last time was on my 22 jet as it had an eroded forcing cone