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This can be too, I think that both statements are reasonable and compatible. Iberians lived surrounded by IE speakers who spoke a primitive form of IE derived languages, and Lithuanian is the most similar language to the original IE, though most of the similarities with some words are due coincidence (surnames ending in -as and stuff you said).
These Iberian names sound strange to us Romance speakers, few of them could pass as Latin derived. The closest language to the Iberian is the Basque, which sounds quite primitive and different from Lithuanian (obvious):
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