attn BARTGN
Hi, just took a peek at my pre-lock 337. Bbl shroud is marked +P Jacketed. Afraid you're gonna hafta try different loads as some +Ps will develop this 'inertia pull' in the cylinder. If it helps you, the Win white box 125gr JHP that used to be available at Walmart works fine, no pull. Not as hot as other 125s, but function trumps power in this instance.
The 337 is a bear to shoot with boot-type grips. Maybe target WCs with their bullets crimped flush could be used. Never tried.
Good shooting!
P.S. Never thought I would write 'gonna hafta.'