it's been nearly 3000 years since the formation of the state of Lydia - more than enough time for the genes of Lydians to have spread across all of the West + the Middle East and maybe among some other peoples
I forget, sometimes, that perspectives of the Prophets who mentioned the attack against Jerusalem were perspectives of the times of the Greek/Macedonian and Roman empires. Their references to times long before those periods makes it even more difficult to tell others about a study--especially in impromptu social media comments. -- the Old Testament refers to "societal memories" - Gog of Lydia (Gyges) was prominent during the time of the Israeli kingdom, and he was a strong force, which is why his name is preserved
Ditto with Nimrod i.e. Sargon of Assad - the creator of the first Empire, even if it was ephemeral, his memory is preserved
Similarly, in Iran, Alexander's memory was preserved as a ram-headed demon
Before long, we might see maps of the historical migrations of mankind.
There are such maps, let me find them for you -- the best studied is the Indo-European group as it was comparatively recent - look up studies on haplogroup R1b which is strewn from Northern india to Ireland
Also the Indo-Europeans merged with different other peoples in their 4000 year history -- the ones in india and Iran merged with the Sumerian-Elamite-Dravidian peoples, the ones in Grece with the Pelasgians, the ones inAnatolia with hurrians (Georgians, north caucasus etc.), the ones in Western europe with relatives of georgians/basques etc. and also Indo-europeans have about 2% neanderthal blood, while East asians have about 3% (sub-Saharan Africans don't)
Or you can find genetic studies abotu the Andaman islanders (who were in the Andamans 40,000 years ago) and their relationship with the Papua new Guineans and the Australian Aborigines
And one migration that is both far news (only in the past 2000 years) and the most wide-spread is the spread of Austronesian langauges (malayo-polynesian) from Madagascar to Christmas Island - these people speak the same sub-branch of the Austronesian language!