Spades are spades. Pretending all players are compatible doesn't do anyone any favors.
Kaliyev is not a well rounded player. He hides off of the puck, reads and jumps into lanes. He is going to need someone who creates those lanes otherwise he won't be as effective.
Kopitar carries the puck, draws in defenders, then dishes to linemates in close proximity who are cycling at the same pace. He is an option quarterback who would rather retain possession than risk 20 foot passes. He has been that player for his entire career - a hall of fame career at that. But he needs puck retrievers and cyclers on his wings - Kaliyev is neither. Gaborik was a highly skilled winger, but he was also a workhorse who supported play and didn't depend on someone else to make space for him. Everyone else who thrived with Anze were hard workers - Williams, Iafallo, Brown, Lucic - none of those guys played off of the puck, they cycled, recovered and supported - not Kaliyev's strengths.
Just like how he and Kovalchuk were incompatible, it will be the same with Kaliyev.