The behavior of an air conditioning remote can vary depending on the specific model and brand. In some cases, the remote may remain on and display the temperature even after the air conditioning unit itself has been turned off. This is often done to provide convenience to the user, allowing them to easily view the current room temperature without having to turn on the AC unit again.
However, it's important to note that not all AC remotes operate in this manner. Some remotes may automatically turn off or go into a power-saving mode after a certain period of inactivity. The exact functionality of the remote will depend on the design and features of the specific remote and AC unit.
If you have concerns about the power consumption or the behavior of your AC remote, it's best to consult the user manual or contact the manufacturer for specific information about your model. They will be able to provide you with accurate details regarding the remote's functionality and power usage.