Gengis Khan's forgotten descendant?

About Forgotten Gengis Khan's descendant

I checked some information about family Kerdiej (Kierdei) from Poland and GDL and found that there is some person who is totally not researched and this is ancestor of family Kierdei. "Filius Takieruizij Perecopscen. Ducis": https://imgur.com/a/tS4IOen
One Ukrainian researcher long time ago tried to review this person but i think that it was done very superficially, but anyway she gave some important things to understand more about this person. With researcher's book you can make acquaintance here: https://shron2.chtyvo.org.ua/Zbirka/Theatrum_Humanae_Vitae_Studii_n...

From information from this book we can see that this "Perecopscen" Duchy was under Gengi'zids Orda and if in details under Jochi'ds (Джучи'дс) Jochi, Khan of the Ulus of Jochi

And there must manage Jochi'ds (not any Bey) the same researcher wrote that level of this family Kierdei was the same like Rurikids or Gediminowicz and this means that this had to be only person from a ruling dynasty- so not any bey, not just simple duke and so on but Gengis Khan's Genghis Khan of the Mongol Empire grandchild, just noone even not tried to research this.

By me this can be few variants (of course this is just example)

Уз (Кин) Тимур Борджигин
or
Тукуз Борджигин

P.s.My version confirms the fact that we can see here which rulers ruled the same territory and what was their status and lineage: https://imgur.com/a/f12tATK
P.s.2 and one more argument for my theory- this is child names: https://imgur.com/a/tKVscwy
Takieruiz's grandchild with name "Jochi (Джучи)" as researchers and genealogists know that name this is family part of traditions (the same like surname)

Now ask yourself - or can there be such coincidences?

Hope there is more bigger experts like i'm and can tell us more.