I actually still disagree. I don't believe that intentionally (because we're doing it like a director yells "cut!") slowing the pace for technical reasons ever aids immersion.
Slowing the pace of the storytelling, like how a slow-burn dialogue-heavy thriller does it, isn't the same as saying, "Hold on, gang, while I pull out my trusty Slashing Wounds Table!" -- there's nothing immersive within the storytelling about that. It may be mechanically interesting and amusing as the group pauses to wait and see, but it has little to do with actual roleplay. That's a boardgame mechanic, IMO.
Maybe it's just a personal preference thing, but I loathe things that force me or my players to stop painting word pictures to refer to a book to determine an outcome. Some of that is inherently necessary, but it's a truly slippery slope. Rules are both a blessing and a curse to roleplaying.