> You should think of it as the condition that's true for all iterations, not a one-time event that halts the loop.

(a) It's "a" condition that holds true for all iterations, not "the" condition. Plenty of other conditions can hold true across the iterations of any given loop too. In fact the one interesting thing about the loop invariant compared to any other conditions is the very fact that it is guaranteed to cease to hold immediately after the loop, assuming you don't break in the loop. Other conditions can still continue to hold. i.e. The stopping condition is the entire point of the loop invariant.

(b) I'm well aware what a loop invariant is; I've worked on compilers. I am also a human. Humans care about when a loop starts and stops. There's nothing backwards about it, it's the most straightforward way people think of loops. And it's literally why more modern languages have introduced better syntaxes that merely spell the boundaries and/or values, and skip spelling the invariants entirely.