What are the main differences between barbecue sauce types and how do their ingredients affect the flavor for cooking?

We ask the same underlying question in different ways.

• What are the main differences between barbecue sauce types and how do their ingredients affect the flavor for cooking?
• Can you compare the main styles of barbecue sauce? I want to understand how their ingredients influence the flavor so I can choose the right one for my recipe.
• Could you break down the main barbecue sauce varieties? I want to understand how their components affect the final flavor when I'm cooking.