Doesn't look like your typical cycling cap shape. What about the Patagonia duckbill cap?
I have a cap from Patagonia which is similar if not identical, and it's not suitable for cycling. The bill of the cap is not rigid, which makes it easily pocketable, but also means it flaps down in front of your eyes on windy sections or descents.
@exteroceptive started
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Doesn't look like your typical cycling cap shape. What about the Patagonia duckbill cap?