Is the question of the downward density of the w-REA sets under $\leq_a$ still open? If not can anyone point me to a proof? That is do we know if for every $\omega$-REA set $X >_a 0_a$ there exists another $\omega$-REA $Y$ with $X >_a Y >_a 0$?

I presume it is still open and it's an interesting question IMO but before wasting any time on it I figured I'd ask a bit more widely to be sure.