Wiki also says the chairman is chosen by the state committee members unless the President is a Republican.
In reality all the committee members, or in the counterpart senatorial and house committee members arrive there through the mechanism of good old boy politicking ~ always been that way. Since VA went for Obamugabe last time Pat Mullins is not on the national committee but two other old time pols (who know big donors) are ~ but they are out of touch.
The rule change in 1952 created an opportunity for Souvrn' RINOs to move directly into the Republican party, and they did so.
The RNC is not structured like the college of cardinals in the RC church, where the Pope appoints all the members and they appoint the Popes.
In short it's simply not a top down authoritarian organization ~ rather, in line with the American federal tradition, it's a bottom up administrative body with assigned duties.
It can be replaced, functionally, by state Republican parties who find its benefits outweighed by its problems. Currently the RNC is a focus of Republican problems. The state committees simply don't have to recognize the national committees even though they do ~ you might want to check http://www.rpv.org/node/270 to find the Virginia state Central Committee. You'll notice right off that the national committee members are named as part of the state central committee. If you want to find the front door of the party's corporate existence you go to; https://sccefile.scc.virginia.gov/Business/04742664 ~ they're right there ~ just like any other organization. Whatever you may have read about this being a 'chapter' those are just words ~ in 2006 this particular chapter found reason to refile its corporation papers ~ the registered agent is in Virginia ~ not Michigan.
So, the members of the RNC are determined by the state party (which is comprised of local parties).
Are you proposing some other method of selecting your “new” RNC?