When Ana found Rasputin and put him into a pillory engram, her Ghost could not get the full warmind. So whatever ends up in an Exo body, will only be a fraction of the original Rasputin. Just like Felwinter was just a fraction, or one Subroutine. But, funfact, when Jinju transferred the warmind into the engram, it did burst with light so it might have gotten mixed into the engram. Whatever Exo body that Engram gets transferred into, it might very well be a lightbearer-warmind hybrid just like Felwinter.