The first support person showed me how to clear the application cache, and then walked me through the process off testing the bluetooth. I was very impressed. I hadn't actually intended to request support - I was just using the device's help system.
Except - it happens again, two days later, and clearing the cache and setting up the voice assistant every couple of days isn't much of a solution. I didn't expect a fix - mainly wanted them to let them know the solution wasn't working.
The second support person had me walk through the basic diagnostics and then tried to give me reasons why what I was trying to do wasn't possible. First, it wasn't possible at all, then it became impossible to do with all my specific bluetooth devices and finally, it became impossible without using google bluetooth gear. (I misspoke previously - these actually do exist).
Pushy, inexperienced, untrained and unsupported. And very clearly miserable and under the gun.