Those should work fine. I have never used a 4 bolt vise. What contacts the barrel?
KT, what you're really looking for is a way to clamp your barrel solidly, without deformation or galling.
I use 2 inch square stock, chuck it up, drill a hole down the center and turn the barrel profile at a point about 12-15 cm from the receiver face. Then I cut a slot on one side, right on the axis line, for the full length of the block, usually 2 inches.
Then, I wrap the barrel with brass shim stock and squeeze it down with my home made clamp, which has two 1 inch bolts and allows even torque and enough pressure to squeeze the block enough that it will hold the barrel tight, so it won't turn, when turning off the action.
I don't like using outside clamps on the action. Sometimes it's necessary, such as with Lee Enfield actions or anything with rear locking lugs.
I much prefer to use an internal wrench, which fits into the rear of the receiver and between the locking lug channels.
These internal wrenches are sold by several different makers and are pretty much generic to most actions, such as most Mauser types and Remington, Winchester etc.
The two actions you show would be just fine with an internal wrench.
OP, I have a Weatherby Vanguard action wrench that fits the outside profile around the recoil lug perfectly. Machined it myself and used it on a build recently. PM me if you’d like.
All machined on my lathe...
Barrel Vise machined from 2 inch stock, 1.5 inches thick, 1.5 inch hole, steel bushing to fit the barrel
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Clamp Wrench
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Internal Spade Wrench
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