So far, this was only an unconfirmed rumor but now it has received an official confirmation:  heavy missile cruiser Variag will join the Russian Navy task force in the Mediterranean where he will replace the Moskva.  In other words, the Russians want to keep a heavy missile cruiser on station for the foreseeable future.  The rotation of heavy amphibious assault ships is continuing (see here for context).

The Saker

Heavy missile cruiser Variag
The Essential Saker IV: Messianic Narcissism's Agony by a Thousand Cuts
The Essential Saker III: Chronicling The Tragedy, Farce And Collapse of the Empire in the Era of Mr MAGA