Beautiful piece of wood.
Those war time barrels were produced with the objective of getting them out the door. There was no expectation of fine target shooting when the Army needs thundersticks, because they have run out of broom sticks. You can look, the very earliest volunteers are playing with wooden guns and cannons.
This troop is carrying Krag's, and I have seen pictures of the unit arriving in France with their Krags. I don't know if they were ever used in combat, but there was a real shortage of rifles at the time.
But, if you want a real accurate barrel, instead of the GI barrel, CMP has these Criterion barrels,
https://estore.thecmp.org/Catalog/Item/065CRI/1917. I installed a Criterion barrel on a M1903A3 stripped receiver, and that barrel is better than any GI barrel to come out of an Army Arsenal. These are not drop in, and I would send the receiver to a gunsmith who knows how to separate the barrel from the receiver without cracking the receiver.