According to the information I've read, didn't matter whether French, English or Us - all used grossly undersized balls in the issued paper ctgs.
F of the A W books noted .64" cast balls for the .69 cal. US muskets, then went to .65" swaged balls which were more accurate x 100% - 2 turkey targets
at 100yards instead of 1 for 5 shots taken in testing.
In the rifles, we use much larger balls that fit tightly, but then, they are only good for about 10 shots that way, depending on the inner dimensions. A .575" ball
in a .580" bore with no rifling is snug indeed. Might even shoot well without patching - have to test that.