The issue described is a classic symptom of asymmetric routing, which frequently occurs when the BIG-IP system and the back-end servers reside on the same subnet (often referred to as a 'one-arm' deployment).

The Routing Problem: By default, the BIG-IP system preserves the original client source IP address when forwarding traffic to a pool member. If the server is in the same subnet as the client or if the server's default gateway is not the BIG-IP, the server will attempt to send its response directly back to the client's IP address, bypassing the BIG-IP.

Stateful Failure: Since the BIG-IP is a Full Proxy, it maintains a state table. Because the response packet never returns through the BIG-IP, the system cannot complete the three-way handshake or manage the application session, resulting in a connection failure for the user.

The Solution (SNAT): Enabling Source Network Address Translation (SNAT) solves this by changing the source IP address of the request to an IP address owned by the BIG-IP (typically a self-IP).

Requirement for Subnet Alignment: To ensure the server sends the response back to the BIG-IP, the translation address must be reachable. By using a self-IP configured in the same subnet as the servers, the BIG-IP ensures that the server sees the request coming from a local 'neighbor.' The server will then naturally send the response back to that self-IP, allowing the BIG-IP to translate the packet back and forward it to the client.

Why other options are incorrect:

A: Disabling address translation would ensure the server-side traffic uses the client IP, making asymmetric routing inevitable in this scenario.

B: This is technically contradictory; 'Auto Map' specifically uses existing self-IPs and does not require or use a 'SNAT pool' configuration.

C: While using a specific translation address can work, it does not inherently guarantee the Layer 2/Layer 3 reachability mentioned in the scenario as effectively as ensuring the self-IP is correctly placed in the server's subnet.