Yeah, it's an insane number of rules. (is video chat required? why video chat?)
Down the page they mention The burden is on you to show that you’re being productive. -- that just sounds outright authoritarian and demeaning. Strict policies calling people out as "do this ... or else" don't exactly engender trust.
I think they cover most of our complaints in the poorly worded Known availability and overlap with your team section.
Most places have three levels of "work from home." There's full speed "work from home" where you're getting more done because you're not distracted by office shenanigans. There's half speed "work from home" where you're not plowing through, but you're keeping up with all communications/chats and fully available if anybody needs you. Then there's fill-in-the-gap "work from home" where you're checking into work systems in the morning, getting some things done, going to an intermediate step in the middle [an appointment at the house, going to a doctor on the way to work at 11am, going to the DMV at 10:30am], then going into the office for the rest of the day.
I think they're saying all of the above is okay, just communicate what your availability will be up front (which seems to go against their other policies of "work in a nuclear fallout shelter away from all distractions and you better have no other responsibilities at the same time either — we own you").