At ‘Project Area’ level on RTC under ‘Team Configuration’ -> ‘Operation Behaviour’ there are two deliver options :

What is the differnence between the two ? Are they both not delivering to the server ?
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Those are for hooks:
It is on the client side, for instance, that I set the hook requiring that a Work Item is associated to a change set before said change set can be delivered (as illustrated in your previous question “Can I associate a change set with a work item after it has been delivered?“).
I could check it on the server, but why use network traffic if the deliver is rejected anyway?
More precisely, As mentioned in this thread: