True enough... different beasts. Brittleness is more of a relative term while tensile strength is absolute. That said, generally in metals the hardness is associated with tensile strength. Higher strength metals tend to have less ductility (bending) before reaching ultimate stress (failure).
Welding is another beast, as locally the metal is upset due to heat and depending also on its cooling, the grain structure can result in a more ductile or brittle structure. Okay I should shut up.
Point trying to make here is that while Cincy is not wrong, a layman can generally assume that higher strength metals will not 'plastically' deform (are more brittle) as much as lower tensile strength metals.
Way deeper than the subject of stick vs. Mig. Oh and I love Mig.