Agbebi was a strong advocate of indigenous leadership for African churches.

Agbebi was the son of a Yoruba Anglican catechist, and was born shortly after his "Saro" father returned from Sierra Leone to his homeland with the gospel.

David rebuffed requests for an explanation by a delegation and by the church business meeting, claiming that he had the authority to dismiss Stone.

He also supported his wife's efforts in establishing the nationwide Baptist Women's League in 1919.

He was also politically active, and presented a paper at the 1911 First Universal Races Congress in London.