No, you should not turn off your AV receiver. Here's why:
1. The AV receiver is the brains of your home theater system. It decodes all of the audio and video signals from your devices and sends them to the appropriate speakers and displays. If you turn off your AV receiver, none of your devices will be able to communicate with each other and you'll just have a bunch of components that are turned on but not doing anything.
2. Even when you're not using your home theater system, leaving your AV receiver turned on is beneficial because it helps keep all of your devices' firmware up-to-date. Many receivers have built-in networking capabilities that allow them to automatically download and install updates for connected devices. So, if you leave your receiver on, you can be sure that your devices will always have the latest firmware installed.
3. Turning off your AV receiver also means losing out on any eco features it might have. Many modern receivers include power-saving features like standby mode or auto power off, which kick in when the receiver hasn't been used for a certain period of time. By keeping your receiver turned on, you can take advantage of these energy-saving features and help reduce your overall electricity usage.