Actually the celebration of this day goes much father than stated in wiki. It is not accidental that the feast is celebrated on the day of rising righteous Lazarus from dead by the Lord Jesus Christ. In Georgian tradition the new testament story has also another, prophetic, meaning where Lazarus symbolically represents Georgian Language. 10th century Georgian monk Ioane Zosime
wrote a mystical short poem which has very strange grammatical and lexical "errors". This poem is called "Praise and Exaltation of the Georgian Language". In Georgian it reads (after correcting these "errors"):

This text speaks of apocalyptic meaning and importance of Georgian language. It says (to express briefly) that Georgian language is "sleeping" up to now and that language is called Lazarus in Gospels.
And the holiday is probably related to the above-mentioned things. There's an article by former Georgian president Zviad Gamsaxurdia, that was murdered, which speaks about Georgian history which is suppressed. He mentions some part of this in that article. The article is translated in English. The same author has actually another article that analyzes Ioane Zosime's poem. Unfortunately the latter has not been translated in English.
Zviad Gamsakhurdia – The Spiritual Mission of Georgia - this is first article that's in English.