Late? Maybe by human standards, but as the young woman who suggested Robert “The Prince of Darkness” Novak and his wife convert to Catholicism: “Eternity is a long time.”
Perhaps the better choice of words would have been "risky". It was not uncommon in the early church for converts to put off their baptism until just before death, the better to cleanse their souls at the last minute. Alas, it was a risk one took, anticipating they would still be coherent to make such a decision at the last minute. Perhaps this is one of the reasons why catholics baptize their children so early - the "just in case" factor.