I believe the OO Church also has emergency procedures for baptism (at least they're alluded to in this brief Syrian Orthodox catechism I have), but I wonder whether they're ultimately superfluous? I mean, if the circumstance is truly one of emergency, surely the Just and Merciful Lord will not turn away the potential "baptisee" in the event they passed away before they got the chance to be baptised. I can't imagine the potential "baptisee" reaching the pearly gates so to speak, only to be turned back with the response: "Oh you were so so close...But not close enough!"
According to an authoritative Syrian Orthodox Father of the 13th century, St Gregorios Bar Hebraeus, those whose circumstances warranted baptism, but who, for whatever reason, did not get the chance to be baptised, will be baptised in "Fire" at the Final Judgment. I wonder if the EO have any similar teaching of baptism by the divine "fire"?