Wadcutters are a trade off of power for shot placement and speed. While you could put them in a heavier revolver like a GP-100 there is no compelling reason to do so like there is in a smaller revolver like a J frame or LCR.
The rest of this ^^ is spot on. The old FBI/Chicago PD load, the 158 grain +p LSWCHP has a long and proven track record as a people stopper.
I think you can stand more recoil than a midrange wadcutter in that big old gun.
I am kind of sensitive to recoil, .38 +P is about it these days.
I once worked up loads at Major power factor to shoot Revolver in IPSC, about like old .38-44 HV. Kind of a handful compared to a .45 automatic.
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I would agree with the bolded part above (and the rest too). Speer #14 shows loads for the 135 grain Short Barrel bullet in both 6" and 2" revolver barrels. Their data for +P .38 loads max out at about 1050 FPS in the 6" barrel. So I would think a factory loading is going to be close to the same window as their reloading data. Bottom line is that it would appear that 6" revolvers loaded with the factory Speer SB .38+P loads should be perfectly fine but are likely towards the upper end of the velocity window for that bullet. They make the regular 125s and 158s for full house magnum loads.