This is no longer true. A conviction that has been sealed or expunged, or for which the person has obtained relief from disabilities, does not constitute a disqualification under Ohio law from possessing a firearm or obtaining a concealed handgun license.
See Ohio Rev. Code § 2923.125(D)(5).
Unless you plan to move out of Ohio soon, I would encourage you to obtain an Ohio concealed handgun license, both for reciprocity in certain states (e.g., Michigan and South Carolina) that do not honor nonresident licenses and to do your part to increase the numbers of concealed handgun licenses in Ohio, which will increase gun owners' political clout. Since Ohio lacks reciprocity with many states, I suggest getting the Florida and Utah licenses in addition to Ohio's.