The appeal of a .358 NM in a Husqvarna is an excellent Swedish round in an excellent Swedish rifle. A 9.3x62 is on my list but down a ways. If I got one, I would look for one in a Mauser or possibly a CZ rifle.
I don't have any first-hand knowledge with these rifles because I've never had a need for mid-.30 caliber, so I'm relying on the ballistics charts. The 9.3x62 is a capable caliber but it doesn't seem to be the equal to the .358 NM. The .358 NM is very comparable to the .375 H&H in velocity and energy until you get into very heavy bullets that aren't available for the .358.
I’m a 35 fan too, have a 35 Whelan I inherited from my grandfather in Pre 64 M70 it’s a shooter with 250s. The advantage of the 9.3 is no belt on the case so reloads are effectively unlimited as they can be trimmed and full length resized via dies as you can’t do that with the belted cases based off the 375 which the 358 is just a shortened 375 hh case. Belted cases eventually bulge at the belt and no dies other than a special collet die that the one man making them quit years ago fixes that bulge. Plus you need to have a Smith open up your Mauser 98 actions bolt face to magnum size the 9.3 uses the standard 30/06,8mm Mauser face.
Remember the 9.3 was designed from the start for big African game and is legal in all but two countries for the big five. The 9.3 was Germany answer to the 376 H&H when loaded to it’s full 63000 psi potential it equals the 375 in comparable bullet weights without the belt nor magnum length action. The real advantage of the 375 is that long case and much lower pressure which matters in Africans climate at 30+C and near sea level you want all that case space and slowpowder burn to keep peak pressure down.that’s a why when I venture to where it’s not and sticky the 375 goes with me. The 375 with 300gr vs the 9.3 wt 286 gr can be loaded to nearly identical velocities and joules of energy. The key difference is peak pressure the 9.3 and it’s 30/06 based case can take 60000+ psi the HH not as much but much larger case for more slower burning powders. I use RL17 in the 9.3 and RL22 in the big Brit.