Does Church of Jesus Christ of Latter-day Saints claim membership of deceased persons?

Those familiar with the Church of Jesus Christ of Latter-day Saint beliefs, may have heard of baptisms for the dead , maybe while going through a LDS temple open house (where baptism fonts are part of the tour) >Many people, however, have died without being baptized. Others were baptized without proper authority. Because God is merciful, He has prepared a way for all people to receive the blessings of baptism. By performing proxy baptisms on behalf of those who have died, Church members offer these blessings to deceased ancestors. Individuals can then choose to accept or reject the ordinances that have been performed on their behalf. This has led to some claims1 such as Hitler was "baptized", or from the referenced article >Mormons have performed proxy ordinances for most Jewish notables...along with hundreds of thousands of other Jews, ... have been proxy baptized and proclaimed as members of the LDS Church. Is this true? How does the church of Jesus Christ of Latter-day Saints explain such circumstances? Related questions: - Do Mormons have a doctrine of afterlife preaching and repentance? - Do Mormons secretly pray about you and then consider you included in their church? 1 https://christianity.stackexchange.com/questions/100807/did-joseph-smith-go-to-heaven-according-to-protestant-trinitarians?noredirect=1#comment287915_100807