You would need to open up the bolt face for the 270 Weatherby and get a new extractor (Rem clip or Sako style) plus the rechambering (added cost), not to mention the added cost for brass and dies.

I'd put the lroject in the category of: "Do it simply because you want to do it."
I wouldn't do it. I think the 270 Winchester is fine just the way it is. I also just don't like belted cases.

Ballistic Studies is a!ways an interesting read. Here it is on the 270 Weatherby Magnum.
https://www.ballisticstudies.com/Knowledgebase/.270+Weatherby+Magnum.html

Your money. Your choice.

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