I don't think thickness would matter you'd still have any 2 pieces of information you're using to describe each digit that are closer than a plank apart collapsing into black holes. I think that's what the plank scale is about - I could be wrong - wether separate things can have a meaningful distance apart regardless of their size, without just collapsing into a black hole. I think most quantum objects like electrons, etc. are described as having zero dimensions in every direction, un-intuitively dimensionless points, I think that's how someone who knew what they were talking about described it, don't quote me, and-I think-they were saying the plank scale was more about their distances from each other, and wether they are far enough apart to interact as expected or if they'll be too close and form a BH. Someone else here might know better.