Closed back help keep sound from leaking into the rest of the room and you for hearing sounds in the room. They are best for when you don't want to disturb others in say an office setting or on a plane. Open back have a more airy sound and better soundstage. I'd go open back if you're not going to be listening in loud environments or worried about disturbing others.
7.4.4 Theater Room: JVC-RS500, Silver Ticket AT 2.35:1 142”, Onkyo RZ830, Anthem PVA-7, Panasonic UB420, Apple TV 4K, JBL Studio 530’s, Dual Driver VBSS
3.1 Living Room: Samsung 64” F8500 Plasma, Anthem MRX 300, Dynaudio Audience 52’s, Dynaudio Audience 122C, NHT SubOne, Roku Express (2019)