The phrase "camped on the doorstep of" typically refers to being extremely close to something, often in an unwanted or persistent way. Antonyms for this phrase would include being distant, removed, or uninterested. Being at a comfortable distance, unobtrusive or relaxed may also be considered antonyms. These antonyms suggest the opposite actions of being present and intrusive at someone's doorstep. Rather than being a nuisance, they imply respect for personal space and boundaries, and a willingness to give others the space they need to feel comfortable.