I think they have a special machine or something that can scan the actual platter of the drive inside the casing... However there is no guarantee of success.
It will all depend if the files are not corrupted, or have been fully or partially overwritten when the drive failed... However I suspect the Pros can salvage what you need.
As you say, the only think is the price. From when I saw the prices recently, they were extortionate! Is the data that important?
If it company accounts or something that cannot be replaced ever, yep I would pay it, but if it logos, stationary, or something else along these lines, I would be tempted to start again...
Peace,
Marc