Battery consumption riding when not connected tp paired device


Just wondering if the Rally's (RS200) stay in pairing mode and use more battery when riding indoors on my Tacx with the Rally's not connected to a device. I have the feeling that the battery drained quicker than what I was expecting. I could just connect them to my Fenix of Edge but I don't really need/use them when riding indoors on the Tacx. So it would only be to keep the batteries from draining quicker in case the Rally's use more battery in pairing mode then when connected to a device.

I'd rather have the Rally's turn off completely after some time when peddaling when there is no paired device to connect to, but I guess that is not possible.