Thanks for the information. However, I think I've found the problem. Apparently, Bluetooth only works with hands-free calling. I haven't actually tried to make a phone call via my car's entertainment system with my Android smartphone connected via Bluetooth. That will be my next experiment. Nevertheless, all the Indian signs point to hands-free calling being the only Bluetooth connection to my phone.
My Camaro is in cherry condition except for the entertainment electronics. (The car supports OnStar and SiriusXM, but my smartphone can largely replace those and add more features.) I read someplace Pioneer is making replacement entertainment systems for cars that supports Alexa and Google Home. The price of the equipment is about $500, I think. Installation may cost extra.
I was so fixated on the mechanical, electrical, and physical condition of the car, I forgot to think about the electronics insofar as the Internet and AI are concerned. Big mistake...