Surjectivity conjecture for the Lawson homology cycle class map on threefolds

Let $X$ be a complex projective variety of dimension $3$, and let

$$\Phi_{1,4}:L_1H_4(X)\longrightarrow H_4(X,\mathbb{Q})$$

be the Friedlander–Mazur cycle class map, with rational coefficients. Surjectivity conjecture. The map $\Phi_{1,4}$ is surjective.

This is the threefold reduction of the Friedlander–Mazur conjecture: surjectivity of this map is equivalent to the full Friedlander–Mazur conjecture in dimension three. The supplied text does not state whether this particular formulation has been resolved.