The scope was added later, possibly much later. Kornbrath had a stroke in 37 and the first Alaskans were made in 39, as I recall. And the first ones didn’t have adjustment caps.
In my opinion, the fact it appears to be unmarked, the cheekpiece, front ramp, and barrel “island” swivel mount configuration rule out G&H. Cheek looks more like John Wright to me. Front ramp could be wright, looks a little Hoffman as well. But again, any well known maker building a rifle with Kornbrath bottom metal would have marked the gun.