Hi,
I can verify that the Google Scholar team does reach out to myself & the DSpace Committers whenever they notice common errors from many different DSpace sites at once. Those common errors may be the sign of some bug in DSpace. When that occurs, the developers make it a priority to fix the issue in the next DSpace release.
Overall, you should report your issues to Google Scholar. If they find common issues, they will report them back to DSpace developers to solve within the next release.
Tim