Not only did the same gospel apply, but believers were unified by a church organization in both eras.
This is that Moses, which said unto the children of Israel, A prophet shall the Lord your God raise up unto you of your brethren, like unto me; him shall ye hear. This is he, that was in the church in the wilderness with the angel which spake to him in the mount Sinai, and with our fathers: who received the lively oracles to give unto us;
And God hath set some in the church, first apostles, secondarily prophets, thirdly teachers, after that miracles, then gifts of healings, helps, governments, diversities of tongues.
I Corinthians 12:28