The interesting facet of hammer gun safe carry/using is the apparent reliance on the safety of hammerless guns.

A cocked action is a cocked action, the safety does nothing to prevent a discharge from a fall or worn parts.

Interesting that the French army ordered guns with no safeties, training their soldiers to rely on empty chambers instead of the safety.

As for flintlocks, the few I have dismantled, English, Austrian and German, had stout springs, thicker than the typical hammer gun spring. They were all made in the last quarter of the 18th century and that might explain the spring dimensions.