"For those who don't mind goat milk, there are great benefits for your skin; lots of Vitamin A"
Yes — some Vitamin A can survive saponification, but the amount remaining in finished soap is likely small and variable.
After a 4–6 week cure, the remaining active Vitamin A is usually very small.
Practical Implication for Soap
Even if tiny traces remain:
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Soap is rinse-off
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Skin contact time is short
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Penetration is minimal
So the remaining Vitamin A does not function as an active skincare ingredient the way it does in creams or serums.