Hi,
for a scheduled maintenance window I would say yes, it will make the stop of Oracle faster and its downtime window faster.
1st: I would recommend to stop the client in the AE and have a look that nothing is in status generating and no scheduled file-transfer, maybe transferring a huger file is running. This should also not the time where the AE Utility Reorg, Unload, Load, ... is scheduled - Please check! At least check your schedule objects if there is any activation defined during the time the AE is down.
2nd: If you don't see anything in status generating stop the AE with shutdown (no immediate stop).
3rd: Now you can give a go or green light to the Team what is doing the upgrade. A Oracle shout down transactional or immediate should be fast now an not blocking them because of open transactions.
4th: after Patch window is finished start the AE, check that all Agents are reconnected well and your schedule object that nothing has been skipped in the time frame where the AE and Oracle was down. If required please start it out of the schedule object manually.