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Since the advent of Skyscanner brand awareness is a lot less important. You don't need to know which airline operates a route in order to find their flights.
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I notice that DY are starting Caribbean from the States using B737.
Not really anything to do with Ryanair however the winter North East Coast - French Carribbean flights are largely targeting the Popular US cruise clientele in association with Fred Olsen Line who will be providing many/much/most of the customers