The ventilated recoil pad is certainly a recent add-on.
Have a close look under action and barrel and under the magazine floorplate release lever. I am sure you will find the tiny ESHA stamp. All these "Wilhelm Brenneke, Leipzig" prewar bolt-actions were built for Brenneke by Schmidt & Habermann, Suhl. Old Wilhelm never was a gunsmith himself, but was apprenticed to a bookseller.