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At this moment the companions of the imam screamed out, saying, ‘The infidels have tricked us; they are after the livestock,’ whereupon the imam split his forces into two divisions: one he entrusted to Garad Ahmusa, composed of the Somali spearmen of the Marraihan, the Gorgorah and the Hawiya; around one-thousand of them from among the most famous spearmen. And from the soldiers bearing shields, the same number."
You're right that the mistake "Hadiye" was written:
"Merca the region of the "Hadiye", which Herbert S. Lewis believes is a scribal error for "Hawiye", as do Guilliani, Schleicher and
Cerulli"
Though that wasn't the only mention.
"
Ibn Sa'id, who described
Merca at the time as the "capital of Hawiye country" You're referring to Idrisi, not Ibn Sa'id.
Ajuraan is Hawiye, so of course Hawiye will claim their accomplishments no? They actually had an empire since the 14th century. Darood came into the equation only in the 19th. Before then, they were just stateless nomads. Even Adal is disputed by Afars, Oromos and Habash.