That is a different conceptual model of the process, but it is, I believe, misleading. In particular, the "go" metaphor suggests an idea of "progress" that really doesn't apply.
It's really better to think of a suggestion like a post-it note stuck to your monitor. It doesn't "slip down and GO THROUGH your keyboard", even though at some point you may transcribe words from it using your keyboard.
The post-it note simply stays stuck on your monitor until you either throw it away saying "I don't want to do this anymore", or you throw it away saying "I've already done this."
There is a germ of truth in your model also: some things that happen to a post-it note could be described as "progress". As you say, the note might be improved and corrected. (But that is by no means a necessary step, or necessarily separate as a step.) Or I might "move" the note to someone ELSE'S monitor, telling them, "I don't know how to do it, you'd be much better." (If they agree with me, that is a kind of "progressive movement." If they don't, well, its just thrashing.)
On the other hand, the idea of "progress over time" is what leads people to think "I suggested the site xx time-units ago, it must have 'gone all the way through' by now." If you abolish that concept, then a pervasive error disappears with it.