In loudspeaker use, it's entirely different. Alnico V was largely adopted for high fidelity loudspeaker drivers post-war (lower grades still used in cheaper drivers, of course) and eventually higher grades were used. Ticonal-g was used through the '60s until finally supplanted by Ticonal-gg in the better models in the late '60s, early '70s. Alcomax then known as Ticonal-x, while used in scientific applications, wasn't used in loudspeaker drivers due to expense of crystalizing large quantities of it. (While Alnico V/Ticonal-g and Ticonal-x are both columnarly crystallized examples requiring a certain cooling process starting from one end to the other, the latter is much more particular to achieve that grade.)
Barium ferrite magnets were slow to be adopted because the material couldn't be directly substituted in lieu of alnico. It couldn't do the simple straight hole of alnico and required a change to the geometry of the top plate and t-yoke to keep the flux lines in linear in the gap. Once that was figured out, it was quickly adopted. There are some war stories out there from the old SEAS designers about their conversion of the 25 TV-EW (necessitated by the high rate of returns due to loss of flux strength from use) to ferrite for the 25 F-EW and how much of a headache that gave them until they figured out that needed tweak.