Injectivity of the Seifert linking form for even-dimensional manifolds

Let $N$ be a closed connected orientable $n$-manifold with $H_1(N)$ torsion-free, $n\geq 4$, and $n$ even, and let $N_0$ denote a punctured version of $N$. For an embedding $f\colon N_0\to\mathbb{R}^{2n-1}$, let $L(f)$ be its Seifert linking form. Injectivity conjecture. The Seifert linking form is injective: for any two embeddings $f,g\colon N_0\to\mathbb{R}^{2n-1}$, if $L(f)=L(g)$, then $f$ and $g$ are isotopic. This would strengthen the classification of embeddings in the specified even-dimensional setting; the source presents the assertion as an open conjecture, while related surjectivity results are known.