[p_l]

Whether load balancer can or can-not tell the nodes apart depends on load balancer and method you use to expose your service to it, as well as what kind of networking setup you use (i.e. is pod networking sensibly exposed to load balancer or ... weirdly)

Each "Service" object provides (by default, can be disabled) load-balanced IP address that by default uses kube-proxy as you described, a DNS A record pointing to said address, DNS SRV records pointing to actual direct connections (whether NodePorts or PodIP/port combinations) plus API access to get the same data out.

There are even replacement kube-proxy implementations that route everything through F5 load balancer boxes, but they are less known.