There's no "every time" for a LLM. It's weights are frozen. You're asking it for the first time, again and again.

A human will also say 7 disproportionately often. Clearly, our output is statistically constrained and we don't actually think, right?

... Besides, how do you even make the jump from "LLM picks 7 when asked for a number between 1-10" to "llms don't think"?

Just... Nothing actually makes sense in what you're saying. You didn't define "think", you didn't actually make an argument, you didn't present evidence, there's just nothing but empty words.