as in duty bound

Would you tell me whether I am right with my interpretation of the expression in bold in the following sentence?

Mr. Pitt was out of town when Sir Arthur Wellesley reached London (September, 1805); but, as a duty bound, he immediately called officially on Lord Castlerasgh at the Colonial Office. (Aldington’s “The Duke”)

as in duty bound, I … = I consider it my duty to …

Thank you for your efforts.

Yes, ‘as required by his responsibility’.