Funnily enough the staggering of the background sheets worked really well for me (though obviously on later run-throughs I’m in a more privileged position). I like the fact that earlier scenes are a bit more general about some aspects of reality (like the faith). You start off just with the fortress description, right? So it’s really grounded in the tangible, the practical, the ‘we are here right now, regardless of what we think or believe’, and scenes flow based around that. Allegiance or opinions on the faith still made their early way, but were necessarily more tangential. It also led to the possibility of making a commitment (such as unswerving devotion to the faith) which then looks very different in the light of fuller information, shifting sands which can be fruitful foreshadows of the final choices.
It definitely can introduce some bumps, but I think for myself I wouldn’t want all the info at once.