Seems like a TCP/IP stack issue rather than a browser issue… 0.0.0.0 is not supposed to be a valid address (in fact, no IPv4 address with 0 as the first octet is a valid destination IP). The network stack should be dropping those packets.
0.0.0.0 is only valid in a few use cases. When listening for connections, it means “listen on all IPs”. This is a placeholder that the OS handles - it doesn’t literally use that IP. Also, it’s used as the source address for packets where the system doesn’t have an IP yet (eg for DHCP). That’s it.