The phrase "more sequestered" implies a sense of isolation and withdrawal from the world around. The antonyms for this phrase can be words like "open", "accessible", "unrestricted", "free", and "public". These words suggest that the opposite of being sequestered is being engaged with the world and other people, rather than being cut off from them. They imply a sense of connection and involvement in society, rather than being isolated from it. In summary, while "more sequestered" implies a sense of withdrawal and isolation, its antonyms suggest the opposite- an openness and connection to the people and things around us.