Speaking as someone who used to live in a city that's on that line: yes

Or you can break it down by city or county instead, some states already do it by county. If you know that Columbus is an hour later than Zanesville or that it's an hour earlier than Springfield, will it be disruptive? Sure, but it's the sort of thing people who live on time zone lines get used to. People in Indianapolis go to Chicagoland fairly often despite being in different time zones.

Really what drives me nuts is that it's arbitrarily shifted. Kentucky and Indiana are split when they could just all be central without issue. But hey, at least we aren't doing time zones as badly as Spain