Yes and yes, agree with both comments above. And...I encourage my clients to consider if they spend any time figuring out "which project does this task belong to?" there's value on the back end for them.
I find asking that question slows down my Processing, and doesn't provide me that much value on the back end. The connection between Project and Next Action happens for me in Weekly Review.
I do find the Contextual thinking does pay off for me.
David Allen Company