The Navy CANNOT force you to take leave to ROM or quarantine. That is against their official policy. My comments are solely about the Navy. It varies by command, but “close contact” with a confirmed positive results in a 7-14 day period where you are told to not come to work and stay away from the people with whom you work.
Also, if you think most of the sailors onboard a ship, or in a squadron, can telework, I’d encourage you to do your FY21 AT embarked on a ship or attached to a squadron in order to gain some fleet exposure. Not a lot of working from home to be done by the people using, maintaining, and operating ships, boats, and planes out in the fleet.