As to the question of needing an internet connection for reading a book the answer is that epub.js - or rather the browser engine in which it is executed - can lead external files so it can be used without an internet connection. I suspect this product can not be used in that was since it has 'cloud storage' as a 'premium' feature. Running locally would undermine the value of this 'premium' feature.
I just discovered Foliate[0,1], which is a very small reader (252kb, deb) for .epub, .mobi, .azw, and .azw3 files. It's based Epub.js[2]. I was looking for a standalone epub reader (wanted to avoid the document management stuff) and stumbled across this gem.
It's performed very well on the epubs I've tossed at it.
[0] https://github.com/johnfactotum/foliate