You can certainly use an original stock, but remember that most of these are mass produced and not perfect fits. One could use them after the stock is bedded. The exterior of the original is the place most likely damaged. This can be averted by using rubber tape to cover the stock so that the follower does not mar the wood or finish.
There is another problem. The stock turner will most likely use your wood or other wood which has been tested to be "dry". However, this does NOT guarantee that the wood will not move. In most areas of the country, "dry" is 12%, which usually takes about 3 years to obtain. However, the wood will usually remain unstable for another year after "drying". It will expand and contract quite a bit during this time. So a moisture meter won't tell all.
There is another problem. If your "dry" and "stable" wood goes to a turner in an area that is either a lot dryer or wetter than your area, even dry and stable wood will expand or contract when it gets back to you. This won't be as noticeable in a commercial stock which is not as tight fitting. This can lead to the stock cracking if it comes back to a dry area. I got one fitted stock back and barely was able to remove the metal. It required a complete reinletting by me. I had the turner put the stock behind his wood stove each day after he worked on my projects after that. Also remember to apply finish on the interior of the stocks including under recoil pads to help delay moisture intrusion. Remember that even a light coat of finish may change the fit. Not all finishes are equal in abating moisture intrusion. Linseed Oil is next to worthless.