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That's a good question, and I'm not sure I have an answer to it. The forces involved in compressing a spring are not so simple as gravitational or electrical forces or nuclear forces that we use in calculating binding energies of these merging systems, or to figure out how much energy we have to put into them to separate the parts.
Are you suggesting that we should not assign mass change to the compressed spring? Or should we also include the "human body" or the object which compress the spring? Hence, we should conclude that the total mass of the system (spring and the agent which compress the spring) is constant?
This will be more consistent, right?