The county seems to have been re-incorporated to Gascony (Vasconia) with Sancho II Sanchez, but his lineage was broken soon after, and a new dynasty of Gascon Basque dukes seem to have taken over.
It seems that the county was reintegrated into Gascony (Vasconia) during Sancho II Sanchez's time, though his line was cut short, and a new Gascon Basque duke family took over.