To configure MAPI import profile in your project workflow you need to start Processing/Operator Station Service under the same account that is used for the mailbox.
ABBYY FlexiCapture Cloud is a cloud solution based on ABBYY FlexiCapture Distributed that is hosted in the Microsoft Azure cloud environment. Users do not create and maintain their own software infrastructure and have no access to the Servers (including Processing\Operating Station Service).
End users are not able to log-in under their user and implement MAPI import.
Cloud and local (non-Cloud) version of FlexiCapture have a single shell (Project setup station, Verification station, etc) that`s why MAPI import profile is still available in the drop-down list and wasn`t removed.