The 12z LCH sounding has an extremely impressive shear profile / hodograph, one of the best I've seen for an area in the warm sector and in tropical moisture. The lapse rates are nearly moist adiabatic, though I assume that sounding went through the updraft of deep convection. Regardless, area VWPs continue to indicate extremely strong shear profiles (just look at the length of the 0-1km section of the hodographs!) over the area. (un)fortunately, deep convergence is also very strong, leading to widespread precipitation that is limiting instability greatly. Some discrete activity has been able to develop on the south edge of the precip shield and take on decent rotation, though the limited CAPE is certainly limiting the extent of the tornado risk.
The 12z LCH sounding is a good example of the importance of the virtual temperature correction when computing CAPE and the parcel trace. The very deep, high-quality moisture decreases the density of a surface parcel to a value similar to a parcel that has a higher temperature. So, the environmental T and Td profile doesn't look like it'd support much CAPE, but the Tv correction indicates that there actually is some marginal CAPE.