Using Streaming Services (Hulu, Netflix) in the Classroom

In a public school...What are the possible legal consequences of showing Netflix or other digital streaming services like HULU from a personal account in a classroom setting.

Can teachers legally stream Netflix services from their personal account in the classroom?

The "Educational Screenings of Documentaries" section of Netflix indicates to me that those documentaries listed are the only titles that would be allowed to be shown through a personal account and that all others are for personal use only, meaning that Fair Use would not apply.

I found a Lib Guide from the James E Tobin Library:(https://molloy.libguides.com/streaming/netflix) that explains how the personal license overrules copy right exemption. I understand what the page is saying in its entirety and like their explanation, but would appreciate having a legal perspective on this issue.

Thank you for any help you can provide!