Dear Dipndots,
You are right!, - with your parenthesis you answered the own question as close as to nearly of 80%.
The only thing you have additionally to point to is that both processes DON’T remove all the salts and other inorganic compounds from the residuals.
And as you may know you can best determine such “Atoms” (As, Cd, Pb, Sb, Se, Bi, Tl, Hg) and similars in this FAAS field
(As you normally measure not the compounds, - in the flame “all” is atomised -, a prior removing is usually not required.)
Good Luck!
ARGOS++