1. People doing analysis and hoping to check everything through engineering rigor and (hopefully) good assumptions
2. Test early and often, learning along the way until many positive tests have proven the system
I'd prefer 2. Look at systems like SLS to see the schedule results of (1).
No people were put on Falcon launches until almost 100 successful launches. I imagine a similar situation for StarShip. For example NASA is funding in orbit refuelling experiments (unmanned) and also a StarShip moon landing (unmanned) which will help prove the system prior to human flight.
Don't worry, plenty of people will carefully do analysis (1) later on. But the data they will review will include telemetry from real flights rather than just hopeful simulation / analysis results.