On my docker hosts there is no other traffic unrelated to docker. Everything goes in containers.
For forward chain we set docker network ranges to route between themselves and only services actually used in containers. Allow container outgoing connections to our DNS servers, centralized HTTP proxy server and monitoring - nothing else containers are allowed to route to.
And for output is similar, only allow our DNS servers, NTP, HTTP proxy, centralized rsyslog where everything goes and zabbix monitoring server and a few icmp types - nothing else gets out and is logged.
With the advent of these supply chain attacks we read about often here it's just a matter of time some container is compromised and this seems like only viable way to at least somehow limit impact when such an event occurs.