My first guess on a quick reading of your question is that the recoil of the .358 would be greater. I don't make any effort to remember equations, but IIRC, the recoil equations use only half the weight of the powder charge -- therefore, equal weights of bullets and charges in the two cartridges would mean a significantly heavier bullet and lighter charge in the .358. I'm not sure how the different velocities would affect the relative recoil of the two rifles.
I'd have to consider this question a lot longer and simulate loads on the computer to derive a better guess. I never trust the accuracy of my first guess about a matter not already considered in depth, and this is one that I've never thought about.
