The router can have multiple 'snmp-server host' commands, and all are active. The old host is still configured, but that should not prevent traps to the new host. The issue might be that the old host is causing the router to send traps to both, but the new host should still receive them.
However, if the old host is unreachable, the router might be delaying traps due to retransmission? No, traps are sent without acknowledgment. The most likely cause is that the engineer did not enable the specific trap types. The 'snmp-server enable traps' command without keywords enables only a default set, which may not include all traps.
But the NMS can receive traps from other devices, so the NMS is fine. A better cause: the new host command is missing the 'trap' keyword? No, it's default. Actually, a common mistake is that the engineer used 'snmp-server host' with the wrong community string.
But the stem says 'public'. Let me think: if the router has two host commands with the same community, both should work. The issue could be that the old host command is using a different community that conflicts? No.
Perhaps the engineer configured the new host command on the wrong VRF? The stem doesn't mention VRF. I'll go with a different angle: the engineer forgot to configure the SNMP community string 'public' on the router. The 'snmp-server host' command references 'public', but if the community 'public' is not defined with 'snmp-server community public RO', the router will not send traps because the community is invalid.
That is a plausible cause.