You are right.
My Barrel looks like one from a M06/29 WF Luger.
Yours from a earlier M1906 WF Luger.
I would say my M1900 was rebarreled some years later.
The early M06/29 Lugers with the red grips have also such reddish colored Barrels.The Barrels of the later variants are black.
I make some Pictures with different light,so it`s maybe better to see.