Even if they did have, City council of Kiev have no legal continuity to Yuri Dolgoruki.
If anything, it’s Russia through Muscovy that have the legal continuity with Kievan Rus, through Aleksandr Nevski (who was also great-grandson of Yuri), Daniel, first grand prince of Muscovy and Alexander’s son, and Ivan IV who unified Russia.
Even if they did have, City council of Kiev have no legal continuity to Yuri Dolgoruki.
If anything, it’s Russia through Muscovy that have the legal continuity with Kievan Rus, through Aleksandr Nevski (who was also great-grandson of Yuri), Daniel, first grand prince of Muscovy and Alexander’s son, and Ivan IV who unified Russia.