If I haven't been saying that, it's only because it never crossed my mind I need to say it. Both my examples from the article are designed around this idea :)

Productivity/time-management tools (for me, at least) serve a function I'd roughly describe as "funneling motivation into high quality work".

So obviously there's a connection (motivation is necessary as "fuel" for productivity, and having productivity and successes makes it easier to get motivation), but those are two different things.

Edit: thank you phrasing it in this way - it was also useful for me to make this point clear.