From what I understand, the late Bishop S.C. Johnson insisted that the three fold name Lord Jesus Christ be used. I think he ordered rebaptism for anyone who was baptized in the name of Jesus or Jesus Christ.
In 1927 Bishop Boyd Lawson left the PAW because of their use of Lord Jesus Christ and he insisted on using the name of Jesus Christ. The organization he founded was the Church of Jesus Christ and some of those ministers insisted on rebaptism if Lord Jesus Christ was used. His son, Boyd, is presiding bishop of the Churches of Jesus Christ International which is one of the groups surviving the splintering of the Church of Jesus Christ over the years. Their web site is
http://www.angelfire.com/tn3/cojci/
and on it they mention baptism in the name of Jesus
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