Could Chacolithic (?) tribes like the Caucones explain the extra CHG in Myceneans?

[matadworf]

I recently read about an autochtonous tribe called the Caucones (Caucasus connection) from Anatolia who migrated to Greece during the Chalcolithic or possibly very early Bronze Age and wondered if they may have contributed to the CHG in Myceneans and/or pre Mycenean tribes in the Peloponnese.
https://dbpedia.org/page/Caucones
Any thoughts about this group/tribe and what it may have meant if anything to the local populations.