All my 38 S&W's have throats over .360. That includes a S&W British Service Revolver, a Colt Police Positive and a few break tops. Like any revolver, best accuracy will result from sizing bullets to throat diameter to .001 /.002 larger.
There's plenty of reading material on this topic on this forum alone.
https://castboolits.gunloads.com/sho...oat-dimensions
https://castboolits.gunloads.com/sho...linder-throats
https://castboolits.gunloads.com/sho...nder-or-Barrel