During out-of-home operation, the communication with the unit is taking place via a server on the internet. It can take a couple of minutes until the action is received by the adapter.
The same is also valid in the opposite way: when the state of the unit has changed (by e.g. using the infrared remote controller), it can take a couple of minutes before the action is reflected to the Daikin Online Controller smartphone application.
When you are in reach of your home network, it is recommended to log out of your out-of-home account to achieve a more immediate reaction of your unit.