Cherish the rifle for what it is.
The sporting rifles built on the 03 and 03A3 actions are just as much a part of the rifle's history as the remaining milspec rifles.
At one point Townsend Whelen even went so far as to inquire of Mauserwerke on building copies of the 1903 actions specifically for use in building sporting or Target Rifles. I've seen images of some of the Mauser drawings from that project, which unfortunately did not come to fruition.
This looks to be a fine example, and looks great. I don't doubt that it will make an excellent hunting rifle.