For a parity measurement on the toric code ground state, no Bob-side local unitary can extract energy, so this entangled state does not support QET for that protocol.
Hotta, Quantum energy teleportation in spin chain systems, Journal of the Physical Society of Japan 78, 034001 (2009)
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Does Entanglement Correlation in Ground State Guarantee Quantum Energy Teleportation?
For a parity measurement on the toric code ground state, no Bob-side local unitary can extract energy, so this entangled state does not support QET for that protocol.