There just isn't demand. OH 7 south of Gallipolis drops to under 2,300 VPD, and the initial phases of the Chesapeake-Proctorville bypass are being built to two-lane limited-access standards with the ultimate goal of building out to four lanes with interchanges - but that's mostly because the area is a bedroom community for Huntington.
On the West Virginia side, WV 2 drops to around 3,500 to 4,500, depending on how close to Huntington or Point Pleasant you are. The new Nucor plant will add some traffic but not enough to warrant four lanes. There are long-range "plans" to widen all of Route 2 to four lanes but that's gotten nowhere except for at its northern reaches. Parts of the route in Cabell County are built on a four-lane right-of-way but that's about it.
I live in the Tri-State area and frequently go to Columbus. US 23 is the preferred route and it takes about 2.25 hours via US 23 and OH 823. With the Portsmouth bypass in place, there is no need to traverse steep and winding two-lane roads. If I'm going to Dayton, I take US 23 and US 35 as those are essentially all freeways or expressways. Cincinnati? US 23 to the AA Highway (2 hours) or US 23 to OH 73-32 (2.25 hours) or OH 32 (2.5 hours).