Do not panic! There is always hope beyond boredom!

I'll do my best to keep you entertained! ;)

First, I don't know about Tfilis being the centre of turqoise market. However, I know that almost all the turquoises in the Middle East and Europe were at that time sourced from the Khorassan province of Iran... but as they gained huge popularity in Turkey and they were brought to Europe from Turkey they were called TURQoise. So the turqoise were popular and traded by Turkey to such extent that their TURKish connection became part of their name.

"this kind of absolutely unfounded but published assertions that give rise to fallacies" -
- assuming that a dagger is made in Tfilis only because it has a scabbard made in Tfilis is an UNFOUNDED ASSERTION in the sense that is based on an incorrect assumption (that the dagger and the scabbard were made at the same time and in the same place).

Futhermore, such an unfounded assertion being published can become embraced by some as being the absolute truth and become a fallacy.

There are imprecisions in the translation of Russian into English.
See, for example, item 22: Be slow to insult, quick to avenge.
"To insult" is to offend another person.
In Russian this phrase is: Be slow to anger, etc. With "to anger" as getting offended, becoming angry.

The phrase gets totally different meaning.

And I agree: silver fittings of the scabbard do not necessarily indicate Tiflis production of the dagger as such. In the absence of old provenance I would hesitate to claim its Georgian origin.