re: I turned it off to see what would happen, but I can’t tell because WordPress search isn’t returning the directory listings at all.
Yes, that is what I would expect as WordPress can not search the output of the shortcodes. It seems when Relevanssi builds its index, Connections is not fully loaded which would be why the template not found message would appear. My guess is Relevanssi runs after Connections is loaded but before any of the templates are registered. Unfortunately there is not much I can do about that.
re: On the Connections:Settings Search tab everything is checked, including FULLTEXT and Keyword Search.
Ok, that’s the default settings but I can not replicate the db error message. Is this error in the log only those two times from a few days ago or are they there repeatedly?