Request always going to default

OneConnect is definitely important. But also make sure you're accurately capturing the path. As a test, add some logging and see where traffic is actually going.

when HTTP_REQUEST {
    log local0. "path = [HTTP::path]"
    switch -glob [string tolower [HTTP::path]] {
        "/path1*" {
            log local0. "going to pool 1"
            pool POOL_serverpool2
        }
        "/path2*" {
            log local0. "going to pool 2"
            pool POOL_serverpool2
        }
        "/path3*" {
            log local0. "going to pool 3"
            pool POOL_serverpool2
        }
    }
}
when SERVER_CONNECTED {
    log local0. "LB server = [LB::server addr]"
    switch [LB::server addr] {
        "168.217.1.1" {
            log local0. "168.217.1.1"
            SSL::profile serverssl_server3
        }
        "168.217.1.2" {
            log local0. "168.217.1.2"
            SSL::profile serverssl_server4
        }
        "168.217.1.8" {
            log local0. "168.217.1.8"
            SSL::profile serverssl_server5
        }
    }
}