Listening to member tracks sent to me recently, I realise I need to make this point clear.
When it comes to the business of de-resonating sounds, LOW frequency resonances tend to pose a LOW risk, and HIGH frequency sounds tend to pose a HIGH risk.
That's NOT to say there's absolutely no place for high frequency resonance whatsoever (tambourines, anyone?). Rather, high frequency resonances must be handled with extra care and attention.
That's also NOT to say that all low frequency resonance is automatically fine, just that it's relatively less likely to cause real problems.
Excessive hi hat, shaker, or ride/crash cymbal resonance in particular seriously give me the ick. Potentially the same issue for the high frequency area on a snare, clap, or even a kick top.
P.S. Low frequency resonance is essential/unavoidable for virtually all music, whereas high frequency resonance could, in some cases, potentially be omitted entirely.