From Wikipedia:
>Przewalski's horse was formally described as a novel species in 1881 by Ivan Semyonovich Polyakov. The taxonomic position of Przewalski's horse remains controversial, and no consensus exists about whether it is a full species (as Equus przewalskii); a subspecies of Equus ferus the wild horse (as Equus ferus przewalskii in trinomial nomenclature, along with two other subspecies, the domestic horse E. f. caballus, and the extinct tarpan E. f. ferus); or even a subpopulation of the domestic horse.[6][7][8] The American Society of Mammalogists considers the Przewalski's horse and the tarpan both to be subspecies of Equus ferus, and classifies the domestic horse as a separate species, Equus caballus.[9]
Both of these terms are much easier to say than "Przewalski" which probably attracted the headline writer. And a reader is less likely to confuse these wild horses with escapees from an oligarch's zoo or somesuch.
I guess we don't need to rewrite the stones song though.
Wood pigeons are wild and distinctly different from town pigeons.
However, when people say "pigeon" without specifying a particular species, they are almost always referring to feral rock doves (Columba livia domestica) commonly found in urban environments all over the world.