Seems to me that faster rates, at least when the temp is marginal (30+), allows more of the liquid to simply drip off rather than freeze. There some correlation between precip rates and temp. In other words, if 1/4 inch falls in 2 hours into 32 degree air, not much will freeze. If it falls over 18 hours or so, it is a much different story. I've seen so many times when people get excited to see really heavy liquid move into 30+ air, and it has rarely if ever amounted to a major issue. (regardless of how many ice ice baby or Lights out posts are made ).
TW