from what i've been able to find out, the tower they are downgrading from is owned by GTC towers. it's 1100 feet tall near Stocksdale NC, and WKZL's bays are at the 850 feet level. the tower they're moving to is near Kernersville, NC, owned by them (Dick Broadcasting), and they used to broadcast from there, and it's still their backup location. it was erected in 1977, and it's a bit over 600 feet tall. WKZL's backup plant is 19.5kw with bays at 380 feet, and the application to move the main transmitter to that location lists the bays at 450 feet and an erp of 100kw.
since the coverage footprint of the new C1 downgrade covers all of the market with a city-grade signal (burlington is right on the edge of 60dBu, and greensboro, high point and winston-salem are inside 70dbu), my guess is that this downgrade to C1 is to keep from paying what is probably expensive tower rent to GTC. The reduction in protected contour moving from C to C1 (from 47miles to 31miles) still covers the market. They won't be as strong in Danville, VA and a bit stronger in Salisbury, NC.