Interviews are significantly easier as far as prep time goes for doctors & psychologists.
BUT, you don't have to go through the entire med school & residency rigamarole as a software engineer either, so as far as total effort goes FANG is probably easier. I posit that software engineering is probably the most egalitarian method of socioeconomic mobility, because the only real barrier is time, a laptop, the internet and motivation, while all the other methods require an upper-middle class background and expensive schooling (law, medicine, finance) or just plain luck (business, celebrity art & sports)
But being an interviewer in FANG, I've actually found it rare to find the self taught type in practice. But we do leave that door open unlike medicine.