Update LoggingSystems so that they can reinitialize themselves
before logging begins. This allows reset of the root logger (which
may have been set to OFF in beforeInitialize) and also re-evaluation
of systems properties such as PID which may not have been set when
logging configuration was first loaded.

This commit may possibly reintroduce gh-1091, but it seems like
reloading is our only option.

Fixes gh-2125