In a scenario in which we have conscious souls (ignoring all the arguments against that for now), would the following be a statistical argument for reincarnation?
Supposing we are in something like an inflationary model of the universe where sequentially infinite universes with intelligent life can keep coming into existence and eventually there will probably always be intelligent life in some of them at any given moment.
If you find yourself conscious within a body, it's either possible that you live one life and then spend eternity dead (with no conscious experience, or some kind of afterlife, it doesn't matter for the sake of this argument) and you just happen to be experiencing your one life at this moment, or that you are eternally transferred into new bodies so any moment in time will involve experiencing life in a body.
It seems to me in this scenario it is statistically more likely that you are experiencing life in a body because reincarnation is true, otherwise it is a huge coincidence that you find yourself in this brief moment in time when you are experiencing an embodied life instead of being dead.
I also intuitively feel like there might be something wrong with this argument relating to time and moments in time but I'm not sure what?
I'm not trying to argue for reincarnation (personally I find the idea terrifying!) but I wonder if this argument works on a probability level?
I understand it's a totally different question if we don't imagine consciousness to be an immaterial soul and there are many other potential objections but purely imagining it were possible to transfer consciousness to another body, does this then make reincarnation highly statistically likely compared to just happening to be experiencing the one time in eternity when we are embodied?