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So, until it's cooked, eaten, or the pig dies and decays. There's very little DNA that survives cooking at all, and any that does is smaller than 800 base pairs, which isn't enough to code for much of anything.
https://pubmed.ncbi.nlm.nih.gov/18791146/
You're far more likely to see backdoor vaccines in something you eat raw, or just straight up as a mutagenic additive.