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For background on the copper tripeptide itself, Wikipedias GHK-Cu overview provides foundational context

In laboratory adipocyte cultures, the peptide has been observed to stimulate lipolysis the enzymatic breakdown of stored triglycerides into free fatty acids and glycerol while simultaneously inhibiting lipogenesis, the re-esterification of fatty acids back into storage triglyceride

Blunted or impeded therapeutic response to vitamin B12 may be due to such conditions as infection, uremia, drugs having bone marrow suppressant properties such as chloramphenicol, and concurrent iron or folic acid deficiency