I think you mean a midfield general......in which case I'd say Busquets doesn't fall under that category.
Busquets is a proper pure DM who only plays at the base of the midfield and makes interceptions through his positioning off the ball and reading of the game.
A midfield general like Viera, Keane, Kante can play as a DM or CM and dominate off the ball by their relentless pressing, physicality, leadership and aggression. These players are bonafide ball winners and cover a lot of ground. They drive forward and make runs more often similar to what a box to box midfielder would. The Busquets type(or the DLP type like Old Pirlo for that matter) doesn't do this.
Busquets isn't that dominant off the ball. At his best, he was more clever than dominant. His defensive positioning and reading of the game was what helped him make those interceptions. He wasn't a physical pressing monster like the others.
Slightly different player profile than Viera, Keane, Gattuso, Kante, etc.