Why would I attempt to convince you of the merits of something that doesn't exist?
I've always found it interesting to see news reports which mis-state actions taken by Republican legislators or just Republicans in general. I saw reports last summer which made the same claim you did, originating I believe in the Washington Post. Their story had to do with how Republican legislators across the country were dealing with declared 'States of Emergency' regarding public health. Ohio was referenced as one state where the legislature had stripped its Governor of the ability to declare states of emergency without oversight by the legislature. This was the result of Ohio's Senate Bill 22 (the text of which can be found
here) having to do with declared states of emergency and the responsibilities of Public Health Offices as well as all higher state offices including the legislature and Governor.
After a very dull and laborious reading of the text I believe reporting on the subject simply mis-characterized one of its components. That being the inability of a health department, during a declared state of emergency, to isolate someone who is not medically diagnosed with a disease or quarantine people who have not been in direct contact with someone who is medically diagnosed with a disease.
How it came to be reported as you mentioned is a mystery to me. Of course you shouldn't believe everything you read, including my comments, so I'd suggest you read the text of the bill yourself and make up your own mind about what's true and what isn't. In case you missed the link I provided above, here it is again in its entirety.
sb22_05_EN (state.oh.us)