If there's no simple linear gene-trait relationship, then how
inheritable a trait is will not be tracked by
heritability which is a statistic of covariance across a population.
This problem becomes compounded in the extreme if there's any environmental modulation of the trait-gene relationship.
Consider that a scottish accent is nearly 100% heritable: it entirely covaries with genes (localized in scotland), but is 0% inheritable. Suppose eye colour is 100% inheritable, but a product of 100 gene interactions, which have substantial geographical localization. You could easily find a case where heritability of eye colour was 0%, but inheritability 100%.
Heritability is a dumb metric for charlatans anyway, even in a simplified trait-gene world -- but in the actual world we live in, >99% of its uses constitute pseudoscience.
It was originally invented for working in agriculture where population were under genetic control by experimenters -- here the covarience is actaully causally indued by experiment, forcing a much simpler and deterministic relationsihp between genes and traits. In basically all other cases it's meaningless.