Things appear to have changed since I did my research. If they truly did change I wonder if there are early chambered guns that might have issues now. Read a few different accounts of reloaders having chambering issues when using .357 bullets.
It's in between.
9mm Luger: bullet .3555-0.003, groove .355+0.004
357 Mag: bullet .358-0.003, groove .355+0.004
350 Legend: bullet .357-0.003, groove .355+0.00235 Remington: bullet .359-0.003, groove .357+0.002
358 Winchester: bullet .3585-0.003, groove .358+0.002
Whatever the specs say, people have pulled and measured the bullets in the factory loads and found they are
0.355".