Will nonshippable SCFO flow trigge,r if we get the SO line forcefully closed without AR Invoice

Hi Team,

For Business Process Type: "Nonshippable", the flow triggers for the event type : "Fulfilment line close"

So when we create a Bill only Sales order, invoice it and close the line the above setup works perfectly fine.

Question: If we create a Orchestration which directly close the SO line without making the AR Invoice, wil the SCFO flow gets triggered ?

Business use case: We want the IC AR Invoice and IC AP Invoice to be created between to BU, the regular AR invoice (i.e. AR invoice created against the sales order) would be taken care by the external system.