Indeed.
However, as for whether or not someone has been born again, this is literally just a question of being baptized into the One Holy Catholic and Apostolic Church, however one defines this (for example, evangelicals will define it as being invisible and consisting of all the Christian faithful, while Baptists and Congregationalists will define it as consisting of the local church, Roman Catholics define it as those churches in communion with the Pope in Rome, most Orthodox define it based on the criteria for apostolic succession of St. Cyprian of Carthage, whereas Anglicans, Assyrians, Old Catholics and a minority of Orthodox will define it based on the apostolic succession criteria of St. Augustine or a related form of “branch ecclesiology,” and Lutherans will tend define it in a manner similiar to the view of St. Cyprian albeit without a requirement for direct apostolic succession or an episcopate, but rather, as consisting of wherever the Word and Sacrament are ministered (thus, St. Cyprian requires Orthodoxy and apostolic succession from only Orthodox bishops, whereas Lutherans require only varying degrees of Orthodoxy, where in both cases, Orthodoxy is understood to mean “right-glorification” or what Church Slavonic calls pravoslavie as opposed to “correct belief.”