As someone with a degree in manufacturing engineering & lots of experience as a machinist, I can attest to the interrupted thread design generally not needing lapping. Since the interupted-thread lugs are cut as threads are cut, they line up naturally (unless there is slop in the machine). As they line up, both on the bolt & in the chamber, they will make contact and be consistent without lapping.
In a 2-lug action, or "normal" 3-lug actions, lugs are cut by positioning the machine for each cut, which can introduce positional error. Lapping is used to correct for any positional error. I have seen lugs that barely made contact & some that did not make contact — except as the action twisted under the pressure of a fire. Such an action cannot be very accurate and must be lapped.
With the range you are limiting yourself to I would recommend the .25-06. It can handle your maximum range without destroying a lot of meat if you get a close shot, and do so for a lot less money than the .257 Weatherby. That said, my primary deer rifle is a .25-06 yet I'm shopping for a .257 Weatherby because it is something neat that I don't have. I also love the "fit" of a Weatherby rifle and how they minimize felt recoil. I understand your choice. Like you, I hunt in whatever weather presents itself so I prefer stainless/synthetic rifles.