Vasiliev has suggested that when George IV Lasha of Georgia was campaigning near the Kura River, Alexios was amongst the "tributaries arrived from Khlar and Greece with presents", in the phrasing of the Georgian chronicles.
Vasiliev telah menyarankan bahwa ketika Georgi IV Lasha dari Georgia berkampanye di dekat Sungai Kura, Alexius berada di antara "anak-anak sungai datang dari Khlar dan Yunani dengan hadiah", dalam ungkapan kronik-kronik Georgia.