I don't know that Slick and Shill ever took orders from Moscow Centre -- after 1989, anyway.
By all accounts, their campaigns and presidency were beholden to Beijing and the ChiComms.
But I'm sure KGB remained a "friendly service" providing direction to their many good friends in the "Counterculture/Peace Movement", going back to the days when the latter was run by Active Measures w/ input from the North America Institute.