Not sure if you saw the graph hidden in the side: "Complaints rose after Toyota recalled 3.8 million vehicles in November..." -- it makes the same case as you.

Let's have an experiment: another manufacturer can institute a fake recall and see what happens.

> Naturally they adamantly deny it

And, thanks to the nature of human memory, after the first few times they aren't even intentionally lying. (A memory is part recall, part imagination. Replay something enough times, it can become more of the latter than the former.)