A binaural hearing device system comprising a binaural hearing device with a first hearing device and a second hearing device, each of which comprises an input transducer (12A, 12B) for provision of an input transducer audio signal (14A, 14B), a transducer audio signal processor (16A, 16B) configured for processing the input transducer audio signal (14A, 14B) into a processed input transducer audio signal (22A, 22B), an ear canal microphone (28A, 28B) for provision of an ear canal microphone audio signal (30A, 30B) in response to sound received inside the ear canal of a user wearing the binaural hearing device, an ear canal audio signal processor (36A, 36B) configured for processing the ear canal microphone audio signal (30A, 30B) into a processed ear canal audio signal (38A, 38B), a first signal combiner (24A, 24B) configured for combining the processed input transducer audio signal (22A, 22B) with the processed ear canal audio signal (38A, 38B) into an output transducer audio signal (40A, 40B), a signal level detector (58A, 58B) for determining a signal level of at least one audio signal selected from the group consisting of the output transducer audio signal (40A, 40B) and an audio signal included in formation of the output transducer audio signal (40A, 40B) and providing an output signal (62A, 62B) with the determined signal level, where an audio signal included in the formation of the output transducer audio signal is any one of the ear canal microphone audio signal, the processed ear canal audio signal, and the processed input transducer audio signal, and an output transducer (44A, 44B) configured for converting the output transducer audio signal (40A, 40B) into an acoustic sound signal for emission towards an eardrum of the user, and wherein the binaural hearing device system further comprises a binaural excessive level detector (60A, 60B) connected to the signal level detector of the first hearing device and the signal level detector of the second hearing device for reception of the output signals (62A, 62B) with the determined signal levels, and configured for outputting a first control signal to the ear canal audio signal processor of the first hearing device and a second control signal to the ear canal audio signal processor of the second hearing device in response to the determined signal levels, and wherein the ear canal audio signal processor (36A, 36B) in each of the first and second hearing devices (10A, 10B) is configured for processing the respective ear canal microphone audio signal (30A, 30B) in response to the respective one of the first and second control signals (64A, 64B) of the binaural excessive level detector (60A, 60B) in such a way that at least one of the processed ear canal audio signals (38A, 38B) is attenuated by an amount required to keep signals of the first and second hearing devices (10A, 10B) within a dynamic range of the first and second hearing devices (10A, 10B). an input transducer (12A, 12B) for provision of an input transducer audio signal (14A, 14B), a transducer audio signal processor (16A, 16B) configured for processing the input transducer audio signal (14A, 14B) into a processed input transducer audio signal (22A, 22B), an ear canal microphone (28A, 28B) for provision of an ear canal microphone audio signal (30A, 30B) in response to sound received inside the ear canal of a user wearing the binaural hearing device, an ear canal audio signal processor (36A, 36B) configured for processing the ear canal microphone audio signal (30A, 30B) into a processed ear canal audio signal (38A, 38B), a first signal combiner (24A, 24B) configured for combining the processed input transducer audio signal (22A, 22B) with the processed ear canal audio signal (38A, 38B) into an output transducer audio signal (40A, 40B), a signal level detector (58A, 58B) for determining a signal level of at least one audio signal selected from the group consisting of the output transducer audio signal (40A, 40B) and an audio signal included in formation of the output transducer audio signal (40A, 40B) and providing an output signal (62A, 62B) with the determined signal level, where an audio signal included in the formation of the output transducer audio signal is any one of the ear canal microphone audio signal, the processed ear canal audio signal, and the processed input transducer audio signal, and an output transducer (44A, 44B) configured for converting the output transducer audio signal (40A, 40B) into an acoustic sound signal for emission towards an eardrum of the user, and wherein