Possibly. But, at the same time, "it is reasonable to assume" is the epitaph carved into the gravestone under which economics's credibility got buried alive.

I'd feel better assuming that question's answer is simply unknown until a few different people have performed a few different field experiments.

For my part, for example, I pretty much never click on ads, because they typically get shown to me at a time when I'm already busy doing something else. But, if I later perceive a need to buy a product of that kind, there's a decent chance I'll remember the name, and therefore be more likely to Google them or take a closer look when I see them mentioned on Wirecutter. I have no idea how typical I am on that front, but, tangentially, I do at least suspect that, if clicks were really the end-all-be-all of hawking product, then there wouldn't be quite so many billboards by the side of the highway.