Persistence profile properties.

Not sure if I can explain it better but I've only seen Match Across Services ever used (i think). This means that all connections to the same virtual server/ip address get persisted to the same node. The example in the doc you reference is where I've seen it. You may want a client to go to the same node for an ssl connection as the initial http connection, ie a website with both http/https options. otherwise the application might break, for example.

Others may be able to give good examples of the others that they've seen.

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