ICMP re-directs are most often seen when you have a host or router A in the same subnet with two other routers B & C and connectivity to both. Consider the following network:
|__192.168.1.0/24__|
| | |
|
| |___192.168.8.0/24__|
| | | |
B C
|____|_____|____|
| | |
A
A will have a route (most likely a default) pointing to B, and B will have a more specific route to a 192.168.8.0/24 pointing to C.
Without ICMP redirects, all traffic from A to 192.168.8.0/24 will be routed A->B->C
With ICMP re-direct enabled, B will inform A that C is a better next-hop and subsequent traffic will be routed A->C.
Obviously B is an extra hop and depending on what kind of box it is, it may introduce extra latency.
Disabling ICMP-Redirects and redesigning the network to avoid this situation entirely would be the preferred solution eg:
|__192.168.1.0/24__|
| | |
|
| |___192.168.8.0/24__|
| | | |
B-----C
|____|__________|
| | |
A
(or remove C entirely and hang 192.168.8.0/24 directly off B).