This feels like the job prospect equivalent of saying "there's a 50/50 chance the sun rises tomorrow, either it does or it doesn't".

If by "big tech" you mean FAANG cos (and assuming "startup" means bay area YC tier), then a more accurate analysis is something like:

Stability: Lower likelihood of being laid off than the median startup in any given economic conditions. Way lower likelihood (I'd estimate <1/20th the risk) than early stage (series A/B)

Base pay: Higher than early stage startups, around the same for later stage (series C/D)

Stock: Much lower variance than startups, slightly higher EV

Fulfilling work: YMMV hugely depending on what you find more fulfilling. Making O(100M) users' lives 0.1% better? Big tech. Absolutely making the day of O(10) people? Startups