Poodleshooter sez "The bedding doesn't adhere to the action, only to the stock..."
Well, it won't adhere to the action if you use a release compound.
If you forget to use the release compound, the bedding material DOES adhere to the action, and binds the whole thing together.
I've seen a couple of guns where the people doing the bedding forgot to use a release compound on the action.
In the attempts to remove the action, 1 rifle was essentially ruined because the owner tried to pry the action out using the barrel as a lever. Bent the barrel, warped the action, and cracked the stock.
On the second rifle, the owner knew he had a problem, so he wrapped the gun in plastic and got 50 pounds of dry ice, which he packed around the gun in a box, and left it for the better part of 2 days.
The ice chilled the metal, causing it to shrink and pull away from the bedding.
Removing the action only required a few taps with a rubber mallet.
The moral of the story is that if you bed your own rifle, DON'T forget to coat the action with SEVERAL coats of release compound!