Sure, the cost of a car is one factor, but the bigger factor is that Singapore is small and well-connected with public transport. It's quite normal for someone to live in one end of the city and take bus / train to the other end for work.
I spent a month in singapore a few years back, about 5 miles from the office. I took uber everywhere though - bill was about £450 for the month when I put the expenses in.
Uber was about 15-20 minutes, public transport took over an hour. That’s 40 hours a month extra time, and my time is worth far more than £11 an hour when my company’s paying £3k for the apartment alone.
It's not just a factor, cars are straight up unaffordable for much of the population. One local politician was roundly criticized for a gaffe where he said that "everybody has a car, we have two".
The public transport system certainly does make live easier without a car though, as does the ubiquity and low cost of taxis and Uber-style rideshares.
