Destroyers grew out of torpedo boats as naval roles and ship sizes changed. Cruisers were expected to spend more time operating independently around the world, maintaining a presence and carrying out imperial policing. Those expanding requirements widened the gap between cruisers and small torpedo boats. Escort and screening duties created a role for destroyers within that gap. France's industrial focus on torpedo boats and large cruisers had left weaknesses in the infrastructure needed to build the intervening types.
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Why destroyers grew beyond torpedo boats
As cruisers took on more independent global patrol and imperial policing, destroyers filled a widening need for smaller escort and screening vessels.