Thank you for the kind and considered review!
The point you make about 1d6 composure being a bit stingy is very fair and something we went back and forth on during playtesting.
We did find that characters starting with lower composure were incentivised to rely on their supernatural abilities more than those who could more safely take risks with "normal" social interaction, creating some fun moments, but for a risk-averse group of players starting with a fixed 5 or 6 should work fine.
Either way I'm glad you liked the game and really appreciate the feedback!