With the price of ETHW currently at $22.80 and the price of ETH at $1500, I can’t imagine mining ETHW would even cover the electric bill. It’s also not clear to me what advantages ETHW would over ETC which is about $37 ea.
Previously ETC was often used as a lower cost dev-testing server for ETH applications that might not be ready for the main-net.
https://blockworks.co/proof-of-work-ethereum-fork-pow-rally-...
I'd expect the value of ETHW to crash fairly rapidly, though, because there are not many buyers interested in buying into a deprecated chain without official support or ecosystem buy-in, and lots of sellers who need to sell their mined ETHW to fund mining operations. Then we'll see miners shut off and leave the network, as the mining rewards can no longer support the electricity costs of mining. At some point it might get 51%'d, but at that point nobody will care.