If I understand correctly, you can simply add the local interface in the routing instances are the source address for your syslog configuration
set system syslog host 10.16.2.22 source-address 10.16.2.2
If I understand correctly, you can simply add the local interface in the routing instances are the source address for your syslog configuration
set system syslog host 10.16.2.22 source-address 10.16.2.2