Ohio produces 1/20th the coal of WV - which is a much more economically poor state - and coal isn't even really that important to WV's economy. Ohio's economy is much more similar to PA - and PA produces 10x more coal: https://www.eia.gov/coal/production/weekly/
Coal is all politics.
I mean, it is still used for a lot of energy production - almost everywhere in the US - Ohio definitely: https://www.eia.gov/state/?sid=OH.
I'm sure power plants don't want to shut down overnight because someone bans coal completely - and they shouldn't. But it's just not economical in most places - the plants are phasing out naturally almost everywhere.
The less scale there is with coal - the less viable it becomes. It's a vicious cycle.
Power plants naturally phasing out because coal isn't economical will have almost 0 impact on Ohio.
Places like WV - that's a different story. WV sells coal! Ohio doesn't.
Coal also doesn't employ people like it used to. It employs 3,000 people in Ohio: https://www.ohiocoal.com/information-library/history-coal-mi.... That's out of a ~5.4M labor force: https://www.bls.gov/eag/eag.oh.htm. That's ~0.05% of the workforce... Even WV is only ~0.15%...
It's really only important to a few barons who want coal to stick around long after it's economically viable (the governor of WV).
I've only ever seen billboards for "clean coal" in SE Ohio, SW PA, and West Virginia.