Kestas' explanation makes sense.
In my own playing around I have put some water in a syringe and then capped it with my thumb while pulling the plunger.
You can then watch the air come out and back into solution.
A very easy and practical demo of the concept.
As for the tie down method, intriguing.
Could the time allowed be enough for even distribution of the solutionized (is that a word?) air?
Something is happening, but what?