I believe it to be opposite to the action you are describing. I think
your theory has merit only if colic is not present.
The stone would move to the mouth of the gb and block the remaining
flow of bile from the gb. The result was intensive colic gb pain
because the bile was not allowed to pass out. Ultrasound on an attack
in ER showed the gb to be blown up like a balloon because the back
pressure was building up. It was just too hard of an object to pass
the 1 cm stone through the 2mm cystic duct. No pressure, no pain.
The pain meant blockage. If the bile would still flow past than I
could have carried the stone to my grave like most people do.
Also, I wish I had a picture of the inside of my gallbladder. If you
had seen it you would have suggested removal as well. It was that bad
looking. The inner walls were in a pre-diseased state. More stones
would have been produced over my lifetime no matter what my dieting
would be because the problem was hereditary, aged or abused gb and
the reversal of that damage was not possible.