Good question, it absolutely syncs without any network connectivity. For better or for worse, I have it setup NOT to sync to anything else- being a stratum 1 source is enough. Now… I will admit I’m just a hobbyist with this stuff. Anyways, the way I got around it trying to sync to another source when using the PPS was to define the GPS as two separate sources. One for the PPS signal and another for the NMEA sentences:
refclock pps ppspath /dev/gpspps0 prefer time1 0.004 minpoll 3 maxpoll 4 iburst
refclock nmea baud 57600 time2 0.068 minpoll 3 maxpoll 4 prefer iburst
To get around issues with sync being slow, I have NTPD configured with some extra flags to allow large time jumps at startup:
NTPD_OPTS="-ggg -N"
I have two raspberry pies setup this way- which I don’t use for much else. My primary computers have these two servers configured as time sources- but also have external sources- so as long as network connections are available, they can determine if they are providing a sane time or are false tickers. As for accuracy, you can view the ntpviz output for each setup in the hamburger menu. For catwoman, its regularly within 4 microseconds.