There is no such thing as local time for Unix. Unix kernel internal clock always use universal time a.k.a. UTC a.k.a. GMT. NTP is also using this same unique reference time and do not care about timezone, hopefully.

The time displayed will depend on an environment variable (TZ) and so may vary depending on the user even on a single machine.

With Solaris, the default timezone users will inherit if they do not choose otherwise is defined in the /etc/default/init file TZ variable.