The whole point here is to NOT have the insurance company get information you want protected. Calling their help lines is counterproductive. They know who is calling because their 800 number tells them. It clearly is NOT ANONYMOUS. Neither are so called "anonymous" police lines.
The illusion of any shred of privacy in the world is nothing but a nostalgic memory now. Let's see, it seems the US govt has been recording EVERY cell phone call and EVERY text message for about 20 years now. That sounds far-fetched. It did to me when I first heard it. Until a certain CIA or FBI contractor by the name of Edward Snowden blew the whistle and truly embarrassed US internal intelligence. He did have to flee the country and can't come back, but Russia was glad to have him.
Anyone that thinks they can surf anonymously or disguise their true online activities are quite naive indeed. Most all of us are carrying HD video cameras with precision tracking devices that are always on. Just because you turned off location and Google timeline, do you really think they couldn't see it on their end? I know how to remotely install a rogue app, invisible to you, but giving up all passwords, aops, documents, pictures, videos, etc
A good rule of thumb continues to be: Always assume everything you do online can be seen by anyone at anytime