How captured French designs led toward HMS Surprise

Was the Medee type a basis for HMS Surprise?

To an extent. Surprise came from the same captured-French-frigate tradition, but Royal Navy service commonly altered such ships for stores and long deployments.

Surprise was herself a captured French frigate and belonged to the design tradition illustrated by Medee. British adoption did not mean exact duplication. Royal Navy constructors and dockyards often widened or otherwise adapted French-derived hulls because officers wanted more stores and endurance for blockade and distant service. Her ancestry therefore does not make her an unchanged copy of the earlier design.