So I confirmed the network init scripts, and rebooted the box. After the reboot, the device once again began listening to this "unconfigured" IP. As it turns out, this was due to how the interface was being configured.
/sbin/ip addr add 10.1.8.2/8 dev eth0:1
# ping 10.1.8.2 -c 1
PING 10.1.8.2 (10.1.8.2) 56(84) bytes of data.
64 bytes from 10.1.8.2: icmp_req=1 ttl=64 time=0.036 ms
--- 10.1.8.2 ping statistics ---
1 packets transmitted, 1 received, 0% packet loss, time 0ms
rtt min/avg/max/mdev = 0.036/0.036/0.036/0.000 ms
# ifconfig eth0:1
eth0:1 Link encap:Ethernet HWaddr 00:25:64:c2:2f:6d
UP BROADCAST RUNNING MULTICAST MTU:1500 Metric:1
Interrupt:21 Memory:febe0000-fec00000
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