i understand log level in tmsh list sys syslog all-properties does not apply to remote syslog. syslog include is needed to filter remote syslog message.
Note: The log levels displayed in the output of the bigpipe syslog list all command do not apply to remote syslog servers.
sol8260: Configuring syslog settings from the command line (9.x - 10.x)
https://support.f5.com/kb/en-us/solutions/public/8000/200/sol8260.html
sol13333: Filtering log messages sent to remote syslog servers (11.x)
https://support.f5.com/kb/en-us/solutions/public/13000/300/sol13333.html