If you're an in-office employee, your responsibilities are (a) show up at the expected work hours (b) get your tasks done.
If you're defined as a fully remote employee, your responsibilities are (a) be online and available at the expected work hours (b) get your tasks done.
Besides that you're just an amorphous black box, a person that has been placed in the cloud, much like a website placed on Cloudflare, where the input is money and the output is work. They don't need to know where you are, and I'd say they shouldn't even have a right to know -- that would be quite stalkerish, IMO. All that's really important is that this black box gets tasks done.