All the nobles who received Edgar's personal letter were surprised. They thought they would lose everything, but a pie was actually being offered to them. The nobles chosen by Edgar did not cause too much harm to people.
Assimilating the two kingdoms will be much faster with their help. Another reason was to subdue the armies that were not penetrated by Baynard. The commanders of those armies were members of some noble households chosen by Edgar. The subordinates of those commanders were loyal. If the nobles were subdued, those commanders would also be subdued. If those commanders insist on fighting, they will be surrounded by allied armies.