Yes, since any log:set command will be recorded as a setting permanently at the end of $OPENHAB_USERDATA/etc/org.ops4j.pax.logging.cfg
(after this section):
# OSGi appender
log4j2.appender.osgi.type = PaxOsgi
log4j2.appender.osgi.name = OSGI
log4j2.appender.osgi.filter = *
<it will appear here>
Even if you issue log:set DEFAULT ... it will stay there. I usually go in once a month and remove those autogenerated entries and keep my custom config 