I'm going to start by answering the simple polling question and the first question as "Yes". However, I am now running past my trial period by years. It took me a couple of years to finally be annoyed enough with that damn popup every time I opened WinRAR that I paid the $10 (or so, as it was cheaper then if I recall, but still was a lifetime license).
But, I no longer have access to the email address that I used to purchase it with, so I no longer have the key to get rid of the popup.
After working with it so much recently for backups and whatnot, it's getting annoying enough to pay the $22.33 to get rid of the popup again, but I can't come around to purchase it for a second time...
So, yes, I have bought WinRAR, and it was because that popup after 45 days is annoying.
Will I buy it again? There's a high likelihood.