It clearly says a licence is required to be an electrician. What it doesn't say is anything is anything about the exceptions you think are there for residential and industrial.
4740.01 Construction industry licensing board definitions.
(F) "Construction project" means a construction project involving a building or structure subject to Chapter 3781. of the Revised Code and the rules adopted under that chapter,
but not an industrialized unit or a residential building as defined in section 3781.06 of the Revised Code.
(B) "Contractor" means any individual or contracting company that satisfies both of the following:
(1) Has responsibility for the means, method, and manner of construction, improvement, renovation, repair, or maintenance on a construction project with respect to one or more trades and who offers, identifies, advertises, or otherwise holds out or represents that the individual or contracting company is permitted or qualified to perform or have responsibility for the means, method, and manner of construction, improvement, renovation, repair, or maintenance with respect to one or more trades
on a construction project;
(2) Does either of the following:
(a) Performs construction, improvement, or renovation
on a construction project with respect to the individual's or contracting company's trade;
(b) Employs tradespersons who perform construction, improvement, or renovation
on a construction project with respect to the individual's or contracting company's trades.