WTF is with Honda "Shakymobiles"

Which one? Some have extremely light rims so the wheels shake with
balancing errors less than what the typical tire shop targets. I always
had to ask for tighter tolerances when getting the wheels balanced on my
97 Civic HX. The rims were so light that I put a tire print on my
forehead the first time I lifted a wheel off the car

My Accord Hybrid has back-buster rims despite them being alloy. I doubt
it will have wheel shaking problems but I wonder if the car would
perform better with something lighter.

 

I just bought a 2007 Civic. No shaking problems. When does it shake
and how noticeable is it? Does it shake only at high speeds, or ?