Any mid to high end case bought from a reputable maker like Corsair, Coolermaster, etc will have sufficiently thick panels to reduce vibration and noise. The lower end models are definitely thinner and will have some vibration and noise.
SECC steel does not guarantee that it'll be better. I have a CM Elite 343 which is quite flimsy as I was tugging the back end without the PSU and the case metal warped slightly. No chance of that happening with my Corsair 400R. Some cases do have a bulge to increase its rigidity like the side panels of the Corsair 400R while some have sound dampening material which negates the vibration and noise.
In short, material quality is important to a certain extent but not as important as a well designed case.