I've seen this on flight test jobs once or twice.
Engine to idle, enter a steep turn - typically looking at g-stalling or mishandled spin-entries, and the engine goes shudder-shudder-shudder-stop.
They've always re-started first time once I'm back to level flight, although it can concentrate the mind slightly. I think probably that it's precession of the rotating prop putting a back-load onto the engine and stalling it.
You can probably investigate it by taking yourself up to safe height in gliding range of a friendly (and quiet) airfield, closing the throttle and flying increasingly steep turns (known in the FT trade as wind-up turns) and see what happens. Solution may be to tweak the idle up a little on the carbs?
G