For many years, the term I've used to describe such bullets is "eroded."
I think Aquachigger's Gardner minies were eroded not by the water-current itself, but by decades of battering by sand-grains in flood-strength current. (Which could be called a gentle form of "natural" sandblasting.)
I should add that I've dug similar-looking "eroded" bullets from wet soil in swamps. The highly-acidic swampwater causes a chemical erosion of the lead, rather than the sand-particle battering which occurs in swift-flowing water.
Regards,
Pete