Documenting the issue so I don't forget to look into it.
OVC3 is currently configured to use jumbo frames in its ethernet interface:
ubuntu@arm:~$ cat /etc/dhcp/dhcpd.conf | grep -n 13500
45: option interface-mtu 13500;
This can cause some instabilities: the interface stops sending data in an unpredictable way. Commenting this line solves the issue.