During my last three years teaching mathematics at Metro State, I have not even once fallen behind the schedule or gone over class time in my flipped classes. Even with inevitable class cancellations due to Minnesota weather, professional conferences and other unexpected situations, I was always able to get students where I wanted them to be.
Why? Because flipped teaching takes content delivery out of class time and moves it to the pre-class homework. The responsibility is shifted from the instructor delivering lectures to the students learning the content. When the class doesn't meet, the students are provided with resource and guidance to continue learning.
As for the deep learning in the flipped class, an experienced instructor would easily find alternative activities when classes get canceled. For example, a D2L online forum, a special project, etc.
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Dr. Ben Weng