The non-equivalence of the nth Whitehead link under quasi-isotopy

Let $W_n$ be the $n$th untwisted left-handed Whitehead double of either component of the Hopf link, and let the unlink have the same number of components. A link is $k$-quasi-isotopic to another when they are related by a generic homotopy whose singularities are $k$-quasi-embeddings; it is strongly $k$-quasi-isotopic when the quasi-embeddings satisfy the corresponding strong condition.

Whitehead-link conjecture. (a) $W_n$ is not $n$-quasi-isotopic to the unlink. (b) $W_n$ is not strongly $1$-quasi-isotopic to the unlink.

The surrounding discussion presents these as properties of the $n$th Whitehead link and notes that the particular $(n-1)$-quasi-isotopy to the unlink is not an $n$-quasi-isotopy or a strong $1$-quasi-isotopy. The supplied text does not state whether these claims have been resolved.