Lorien as much as it can seems to want to be separate and isolated from most of the outside world, especially men. Very few of them spoke the common tongue, and stories of Lorien in the outside world consisted of a perilous realm ruled by an elven witch. These facts do not seem to indicate a large export industry within Lorien comprising wine or other goods, especially ones that would go through the Laketown, a place inhabited by men. These to me seem to rule out the possibility of the southern elves being those of Lorien. The suggestion of it being Dorwinion by the Sea of Rhun seems highly plausible.
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His sword was long his lance was keen
His shining helm afar was seen
The countless stars of heavens field
Were mirrored in his silver shield
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