The sound from any given cymbal will cause "different" stands to resonate differently simply because they are different. However, not only will any residual resonance from a particular stand be negligible in it's difference it will most likely be inaudible compared to the sound produced by the cymbal (or anything else mounted on it). Either way, "different" don't necessarily mean better or worse.
Put simply, more expensive stands are on the whole priced like that because they are generally better made than their cheaper counterparts. If you want somewhere to put your 8" splash and never plan on moving it anywhere, then a cheap stand is fine. If you want something on which to mount a 22" ride, an 18" china, the odd tom or 2 and a couple of cowbells - maybe go for something a bit sturdier. Build quality or lack of tends to show the more you have to take something apart and transport it (ie for gigs and whatnot).
Hi-hat stands are a slightly different proposition, as they have moving parts - and the feel of the pedal under foot is very much a matter of taste. When it comes to cymbals, the hi hat stand is arguably much more important than any other - but the question about inherent sound difference between 2 different hat stands still applies.