It crazy how many websites out there around bible collect information and share it with third parties. I looked at a bunch and couldn’t find anything that’s completely private.
Worst case, I would OK with them collect information but not share any information with third parties.
another option is to have an epub version of it that you can load into a reader. you should be able to add bookmarks etc. It might not be as feature-rich as an app, but if you want privacy, it’s about as close to reading a book as you’re going to get.