If you can't afford a new Honda sedan you can: (1) look towards a Hyundai sedan, (2) look towards financing the same car for another year (which is why 7 year financing plans are common in the USA in the last decade), or (3) look at a used car.
A $500 cost difference between this month and next month means you may consider spending another $500+ on maintenance to keep your existing car running longer, but if you get into a place where your current car is no longer usable, there are several options before you have to forgo having a car altogether.
It's not like nothing happens until it's an $800 difference and then there is "quantum leap" change.
The answer to this is obviously yes if you think about it (assuming you're talking about deciding against buying a new car specifically). The question is how many people?
Also it might make some families go "all right I won't get a 2nd (or nth) car".
What do new cars cost in the US? Does a price difference of $500 or $1000 really make someone say "all right, I'd rather do without a car"?