I've lived in four of the top 10 "most rainy" cities on the list. They way it normally happens in all of them is that you'll have a bunch of sunny days, then a day where you might get anywhere from 0.5-inch to 8+ inches of rain. Especially in the spring and summer. Four days ago it rained 2.5 inches in one day. This week it's all sunny.
I think this depends on the specific city. Your description was my experience growing up in Miami - during the wet season, you'd have a good number of dry days and then a few days at a time with a lot of rain.
But where I live now in Jacksonville, it's not really this way. During the rainiest part of the year, roughly June - September or so, it rains in the afternoon probably 90% of the time, sometimes for an hour, sometimes til night. So there are still different ways of getting into that top 10.