I was also thinking of promise pipelining, but note that the article proposes communicating A -> {B, C} -> D, never directly communicating from A to D. Cap 'n Proto "level 3" nodes could send promises from B and C to D, but that still needs A to talk to D, i.e. A -> {B, C, D}; {B, C} -> D. Same latency / depth of dependency chain, but still more messages - right?
(In return, note that Cap 'n Proto's A -> D message makes it more obvious how A figures out whether the operation succeeded; I'm not quite sure how that works in the proposed diagram. I suppose the proposed system actually puts all messages in a system-wide database, which does solve the problem.)
That should not be the case with promise pipelining. The "Mobile Almost-Code" section of the E page explains this. You mentioned "continuation passing style", which is effectively what promise pipelining does: For the constrained class of continuations that can be serialized as a dataflow graph, pass those along with the message.
Importantly, the system wide constraint is willing participation from each actor, not a shared database. Instead of each actor needing to know how to interact with the shared database, each actor needs to be willing and able to execute these passed continuations.
(In return, note that Cap 'n Proto's A -> D message makes it more obvious how A figures out whether the operation succeeded; I'm not quite sure how that works in the proposed diagram. I suppose the proposed system actually puts all messages in a system-wide database, which does solve the problem.)