It might very well be chambered in 30-03.
A standard 30-06 round will chamber in the above and the operator wouldn't know the difference,,just assume it's a 30-06.

Not a lot of 30-03 loose rounds rattling around in most peoples misc ammo boxes to allow checking to see if it would accept that one or not.

I think,,but have never tried to use 270Win cases resized to 30-06 to make 30-03 cases.
(Maybe the factory 35Whelen cases would work too for this?)

I have read that the extra length of the 270case when sized up to 30-06 will result in a longer neck equaling, or nearly so, that of the 30-03.
Since the headspace of the 3 cases is the same (the case head to shoulder mark measurment), the difference will be in the length of the case neck of the new 270 to 30-06 formation.
It should be too long to chamber in a standard 30-06.
But should chamber OK in a 30-03.
..Well that's the theory anyway. As I said I never tried it.
I've only ever had one 30-03 and that was a Win95 deluxe carbine in that caliber and it didn't stay around long enough for the experiments to find out.

A chamber cast would tell you but I don't know if that was done,,not a lot of descriptive info with the listing.
Neat rifle though. Looks like a Mannlicher Schoenauer sporter trap butt plate.