[dist1ll]

> because that is what it means in mathematics

Personally, I think this argument only holds water for languages that are rooted in mathematics (e.g. Haskell, Lean, Rocq, F*, ...). If your computational model comes from a place of physical hardware, instructions, registers, memory etc. you're going to end up with something very different than an abstract machine based on lambda calculus. Both valid ways to design a PL.