At the moment there is issues in Ohio that the state is taxing if local jurisdiction withholds taxes. So law in Ohio says yes you may owe tax if telecommuting from NY for Ohio company. Lots of discussion on legality and nexus.
https://www.journalofaccountancy.com/news/2020/dec/surprise-tax-bills-for-some-teleworkers.html
https://das.ohio.gov/Portals/0/DASDivisions/DirectorsOffice/pdf/policies/humanresources/Taxes_Policy...
https://ohiostatetaxblog.com/ohio-bills-seek-to-repeal-law-giving-cities-flexibility-for-remote-work...
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