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I don't think this is true at all. Love is proportional to cost; if it costs me nothing, then the love it represents is nothing.
When we receive something from someone, we estimate what it cost them based on what we know of them. Until recently, if someone wrote a poem just for us, our estimation of that would often be pretty high because we know approximately what it costs to write a poem.
In modern times, that cost calculation is thrown off, because we don't know whether they wrote it themselves (high cost) or generated it (low/no cost).