My kids' only complaint about biking in the rain (or snow) is that we don't stop at the playground on the way. They're in normal exposed bike seats as well, albeit wearing clothes appropriate for the weather, so they're not even in a trailer or those fancy rain canopies that you see on box bikes.
As a dutch person I can say, as temperatures are dropping on the northern hemisphere, little makes my kids happier that announcing we are taking the car to school.
This book, I wonder, is its only mission to make people feel bad that they are not doing well? My kids are dutch and only play outside by themselves from 6-7 y/o, don't bike to school until they are 10-12 or so usually and they really didn't sleep very well as babies. And I definitely know some 14-18 y/o rebels.