Capturing informative electroencephalogram (EEG) signals is a challenging task due to the presence of noise (e.g., due to human movement). In extreme cases, data recordings from specific electrodes (channels) can become corrupted and entirely devoid of information. Motivated by recent work on deep-learning-based approaches for EEG signal denoising, we present the first benchmark study on the performance of EEG signal denoising methods in the presence of corrupted channels. We design our study considering a wide variety of datasets, models, and evaluation tasks. Our results highlight the need for assessing the performance of EEG deep-learning models across a broad suite of datasets, as provided by our benchmark.