As you know, I posted this photo on another thread, to learn about different de-blurring techniques. I wanted to use the Unshake program exclusively, to try a little testing. What I did, was to take the stock photo, run it through, only changing the time to x2, then running that result through it again, with the same settings. Here are the results. Stock photo:

Test 1:

Test 2:

Test 3:

Test 4:

Test 5:

Test 6:

Test 7:

Test 8:

As you can see, it did clear up a bit each time. It did get slightly darker each time as well. The later results had some slight change, but were basically negligible.
Here's an animation, showing the difference between the stock photo, and the last test. A significant difference:

Here's an animation showing every layer change. Changes are 1 second apart:

Thanks for looking.