As others have said you are probably only going to be able to trim less than 10% of the total weight by switching out the scope, but of course you'll be sacrificing magnification, tube size or ruggedness (or all the above) to get there. Diminishing returns and all that..
For reference, I have a Tikka T3 lite in 270WSM with a full 24" barrel, fibreglass Bell & Carlson stock, compact 2.5-10x scope and that is 4.1 kg with a much lighter barrel profile. I'd consider that as light as I would want it to be if I'm to shoot it well. It used to be in a timber hunter stock and a few hundred grams lighter, but it was actually unpleasant to shoot Z(especially off a bipod) in that configuration.
Even with a suppressor added, making it 4.5kg it's still pretty fine to cart around in the hills, especially if I put it in the scabbard on my bag. Hardly notice it's there.
You'd be better off taking a few kilos off your own frame (unless you're already a rake) instead of spending thousands to trim a fraction of that.
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