WI: Carthaginian Azores

Imagine that around 400 BC, a Carthaginian ship decided to go exploring beyond the Straits of Gibraltar, and landed on the Azores. Some sailors stay on this new land, some go back. Within the next decades a few hundred Carthaginians have migrated to the settlement on the Azores, but it soon gets forgotten due to being out of the way and useless.

Assuming a butterfly net, and the rest of the world develops as in OTL, how would this island culture develop over the next two millennia? And when Portugal (re)discovers the islands, what would be the cultural consequences?
 
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