I believe Spectrum does have both in Muskingum, I don't know if WHIZ blacks out the duplicate content on WCMH though.
For all intents and purposes, WTTE itself can likely remain, because it is no longer affiliated with FOX 28, because of the end-around Sinclair pulled to put "FOX 28" on WSYX 6.3, and directly under Sinclair's control instead of longtime shell partner Cunningham, who now runs WTTE themselves as a repository of sub channels with little involvement of Sinclair.
FOX is pretty quick about pulling duplicate affiliations in many other markets, especially when a local affiliate signs on for the first time. This means that viewers in Muskingum County will get the new WHIZ affiliate, while all the other surrounding counties in the Columbus DMA will still get WSYX 6.3...aka "FOX 28"
WHIZ (NBC) has a lot of cable coverage in the surrounding counties, but the new FOX arrangement likely won't transfer, unless they start local news casts and/or black out the FOX content outside of Muskingum County.
Muskingum County will still get WSYX 6.1 "ABC 6", which means they'll still have the same newscasts they got on Fox 28, since Sinclair uses the same news department to make news for both stations.