About all shoulder holsters are cross draw and I've used them fine. I successfully used a belt cross draw for a long barreled target 22 as a field gun and a slim Jim holster for long barreled cap & ball.
I think CD got a bad rap from 1950s ?? detectives with poor, if any retention. Detectives have to get up close to question people... within grabbing distance.
CC is different.
Personally, I carried my 3" M66 on foot and horseback at 3 o'clock OWB with a thumbsnap holster.

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NRA LIFE
Reserve Officer 9yrs