Is the BEA double counting benefits in Personal Income?
Statistical Agencies do not necessarily obey the habits of Economic Theory. There is no "mistake" here (certainly, there is no double-counting), but a different approach to what each concept means or "should mean" (which sometimes is also a consequence of historical precedence).  

For the fun of it I post below how the same data could be arranged to conform with standard theoretical economics, where we make a point of distinguish between income earned, taxes in the broad sense, transfers, consumption, saving. 

ALTERED/RE-ARRANGED BEA TABLE 2.1. "Personal Income and Its Distribution"