It is you who are biased; you want a deterministic approach; I want a plausible one.
While not technically of course (computers must use entropy), the UI could be dice-less if the game would visually & mechanically react to what the dice merely imply. Animations for tripping, missing in combat, slipping on wet ground; alternate ambulatory animations for drunkenness, and crippled limbs, and overburdened PCs; and the variations for running.
*But in practice, the player wants to know the numbers; why that stuff is happening. In IcewindDale 2, I remember my PCs always getting one-shot killed by goblins, due to the difficulty setting. It was only when the combat log showed that they were +27 to strike & damage that I understood.
I will consider this question closed, with you losing the argument when you introduce real life and movie arguments into the topic. If you want to continue, please use the game arguments.
That is a cop-out. The game depicts the PC's life, and you beg to exclude examples of the game systems that depict that life; systems that you dislike, and would rather not argue against... because they do their job well.
As for your beliefs about the computer screen affecting the player experience, I already told you I see none of that, and have no problems from it.
I suspect that you might be meaning that the visuals are detached from the player, and that somehow this affects so-called 'immerzion', but when one doesn't consider it detrimental to the experience one doesn't give a— one simply doesn't notice or care about it.