The Wu Family consortium, although its main force lay in the hands of Wu Junyi's faction, was a large conglomerate formed from the alliance of many families, and it was inevitable that there would be varying opinions within the group.
There were no hard and fast rules within the consortium that mandated each family's member to obey Wu Yue's commands.
How each family managed their relations with the outside world was their own business.
There was only one thing not allowed in the Wu Family consortium, and that was to join forces with outsiders to suppress others within the consortium.
Strictly speaking, pulling in a strong martial artist from outside could not be considered suppression; it could only be seen as an enhancement of one's own deterrent power.