The first time I saw BR it was the theatrical cut and I hated it. Years later I watched the Final Cut on a much better TV with a better sound system and absolutely fell in love. A huge part of BR is its presentation, both audio and visual. It is cinema-as-art to a big degree - like a lot of Kubrick's work, so many scenes from it could be taken out of the film and hung on your wall as artwork. Watching it on a small TV, or a laptop/phone really saps that beauty.

Additionally, it is at its heart a Film Noir, and having an understanding/appreciation of that genre definitely helps here. FN is deeply invested in tone, developing the "feeling" of a scene through scenery and lighting, and making you feel the grittiness of its environments. Think of how visceral the streets of the city are, or J.F. Sebastian's loft. Feel how the constant rain would put a chill into your bones all the time. Contrast the way Deckard lives - cramped quarters, grubby conditions, poor lighting - with Tyrell's giant windows, high ceilings, and big dramatic lights. The pacing of BR is also classic Film Noir - slow rollout heavy on worldbuilding, the protagonist/hero getting his call to action, the Femme Fatale who complicates not only his mission but his life, and (sometimes, definitely here) the revelation that makes him question everything he thought he knew either about the situation or even his whole life.

I also recommend checking out this quick essay speculating on certain elements of Blade Runner, which may change the way you view what you saw, but at least should give you a glimpse at the deeper themes that can be explored.