1. F5 Networks Knowledge Base, K13310: Disabling nodes or pool members for maintenance (BIG-IP LTM)
Section: "Disabling a pool member or node"
Content: "When you disable a pool member or node, the BIG-IP system allows existing connections to time out before the system takes the resource out of service... The Disabled state allows existing connections to time out, but the system accepts no new connections." This supports that existing/persistent connections continue, making option B correct and options A and C incorrect.
2. F5 BIG-IP LTM Concepts Guide, v15.1
Chapter: "Pools"
Section: "Setting the availability of a pool member"
Content: "Disabling a pool member or node: This state is initiated by the user. When you disable a pool member or node, it continues to process any current connections, but accepts no new connections. This is considered a graceful shutdown of a server." This directly confirms that the disabled member continues processing current connections and that other members are not affected, validating B as the correct answer and invalidating A, C, and D.