Really? My impression was that they had a disproportionately high number of omnis.
they
use a lot of Omni's.
but they only have a couple that they developed. the Savage coyote, the Coyotl, The Lupus, and the Septicemia/Pariah. the first is widespread in their Touman, the 2nd is the very first Omnimech and long out of use, the 3rd is an early onmi that is also long out of use, and the 4th is a Coyote/Society joint design.
on the other hand when we look at non-omni's they were responsible for the creation of the Guillotine IIC, the Highlander IIC, the Urbanmech IIC, The Canis and the Rabid coyote, all of which are active duty designs.
so while they use a lot of omni's, there are very few 'iconic' coyote Omni's to fill out a unit with. (they way you could stick Timberwolves, Linebackers, and Dire Wolves into a Clan Wolf star, for example, and have people immediately figure out "oh, that is a clan wolf unit")