More good news, also solved the SVA5 problem! I just made the offending parts not visible from the cockpit using the "hide component" trick on the "fastpivot" and "slowpivot" parts. I was surprised but very pleased to find that making them not visible from the cockpit, also worked in the external views.
For the record, these are the changes I made to the relevant *_data.ini files, at the end of the [AircraftData] section in each case. For the EII & EIV use this: