In general, the narrower (or shorter) the sidewall, the stiffer
the ride. That's because the short sidewall flexes less than a
longer sidewall. It's something like comparing a short, stiff
spring to a long, soft spring.
But also in general, a narrow sidewall improves handling for the
same reason. Because a short sidewall has less flex, turning the
steering wheel will create a more immediate response at the tire
and wheel.