So i thought about it and i think it would be a HUGE QOL change to remove a bottleneck.
if it displayed ALL players first cards immediately on the same page so everyone can come up with the first of their stories then the second set after asking if everyone has got their first part thought of.
which in turn could make room for things like having the players able to mix and match, draw a line using other cards or block card being used by someone else.