A deed does not refer to a specific thing. It only does so in daily life as a matter of convention. It is the authority of the banks or the government or whatever that gives your particular deed any weight at all. A deed, like a dollar bill, is a piece of paper with no value. Indeed, a photocopied dollar bill has no value whatsoever. It is only our collective agreement to pair value with officially recognized papers that grants those papers value.

The situation I described does make sense, because it's exactly what we are circling around here. Anyone can sell anything; it is merely a question of whether the sale will be recognized by the parties that matter. An NFT is necessary because it distributes the transfer and sale of things without a central intermediary. There is and always will be a required authority to recognize the value of a given NFT, however.

Note that these two ideas of central authority are not equivalent. In one hand, you have a centralized authority over trade; in the other, an authority over value. Note also that in the case of NFTs, there is no "one central authority who governs all value", but instead many authorities, i.e. the creators! The artist or creator of a given work is free to recognize the NFTs that grant ownership of their creations. It is they who have the power of authority.