Anyone who thinks unit testing takes extra time hasn’t done unit testing properly. Anyone who has sat and only written unit tests has not done unit testing properly.
Similarly, anyone who thinks unit testing is sufficient testing for any application is incorrect. One of the main generators for unit tests should be bug reports, ergo other testing should be happening.
It is important to note that unit tests are not the same thing as automated tests. There are many other sorts of tests that can be automated.
Wil Shipley is clearly confused on this last point