In some ways, yes; in some ways, no.
The Self-Employed Edition is the old online version of Home and Business. The name of the online product changed this year for 2016.
The desktop software (CD/download) is still called "Home and Business."
The desktop version (Home and Business) is more fully-featured. It can prepare multiple returns, includes a state program, and has Forms Mode for viewing/editing forms during preparation.
In the online editions, only Self-Employed can prepare a Schedule C with expenses. But in the desktop editions, all editions can prepare Schedule C.
