Kripke's framework for rigid designation does not entail that a designator refers in worlds where its bearer is absent, so GSA applied to contingent beings smuggles in existentialpresuppositions.
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Introduces something quietly or without acknowledgment, making it seem innocent when it's actually a controversial addition.
bearer(as used in metaphysics)
The thing that has or carries a property. For example, a rose is the bearer of the property 'redness.'
contingent beings(Modal metaphysics)
Beings whose existence is not necessary — they exist but could have failed to exist
rigid designation(Illustrated by the indexical 'I', which rigidly designates the speaker of the context even when evaluated at counterfactual circumstances)
An expression rigidly designates when, uttered in a fixed context, it refers to the same entity across all circumstances of evaluation