No, nor do I think he should have it.
Instead, I think he should have extremeley high Observation and respectable Armament.
I like the idea of him being a foil to Zoro in the sense that he clearly cannot match him in strength, but has unique Haki abilities to completely hide his presence and thus pose a threat.
I can picture Zoro winning a fairly difficult battle by using Asura to spike his Haki abilities and "see him in the underworld" (think Sasuke seeing Madara's clones in Limbo) or other some cool ass shit to do with his King of Hell moniker.
It'd be also dope if in an early stage, before Shiryuu completely erases his presence, he also pushes Zoro to reach the pinnacle of his purely physical senses as a swordmaster - which in turn lets him know he's finally worthy challenging Mihawk because he knows he'll evolve and attain a new strength in their battle and overcome him.
Never mind me y'all, I'm high as shit and delving into fanfiction here.