@Antanicus I can perhaps agree with the above (assuming we’re talking about transactional price), however Wikipedia defines both terms differently:
LTV: “the economic value of a good or service is determined by the total amount of »socially necessary labor« required to produce it”. Hence it should not matter if a car has square wheels.
law of value: “the relative exchange-values […] are proportional to the average amounts of human labor-time”. “Proportional”, hence capital does not matter.