Cu dissolution at high potential vs Li could definitely be a problem if significant (-2 to -3 V) overdischarging occurs. This paper (https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4957210/)shows the voltage profile of a severely overdischarged NCM1/3/GR cell and the dQ/dV data. Severe dissolution is seen at ~3.5V vs Li and they also look into how much damage is caused by holding the cell under these severe overdischarge conditions.
Figure 2c of the Goodenough paper (http://pubs.rsc.org/en/Content/ArticleLanding/2017/EE/C6EE02888H) shows they used a Cu current collector for their sulfur cathode which shouldn’t be a problem due to the low active voltage for sulfur. They also did higher voltage testing using Li-MnO2 but don’t say what the current collector was in this case. I doubt Cu dissolution is the issue though as this cell was stable for 2500h and was cycled around 3.1V vs Li which should still be bellow the dissolution voltage for Cu.