I don't usually answer my own questions, but here is what I figured out:
The difference between the ADO.NET C# DbContext Generator and the ADO.NET C# POCO Entity Generator is that the former creates a context based on the DbContext and the latter creates them based on the ObjectContext.  
Basically, these are used in the Model First and Database First approaches.  The difference between Model First and Database First is that in Database First, you define your data model in the database, then reverse engineer the model (ie. create an .edmx file) from the database.  While with Model First, you create your model in the designer (again, the .edmx file) or by hand, then generate the database from that model.
In both cases, you then generate POCO classes and either a DbContext or ObjectContext from the .edmx file.
The Entity Framework Power Tools CTP1 reverse engineers a Code First model from the database, including POCO class, the DbContext (don't think it offers ObjectContext generation) and the mappings (via the OnModelCreating method).  
So what this boils down to is that in Database First and Model First, the "model" is defined by the xml .edmx file (or in some cases, several files).  While in Code First, the model is defined using fluent code mappings in OnModelCreating.  
When using the Power Tools to reverse engineer the database, it doesn't create an .edmx file, instead creating the mappings in code.  Thus, skipping the xml middle man.