When loaded with normal weight bullets the .35's or more properly .36's, have a theoretical disadvantage compared to the .338's, in that the sectional density for the 250/.358 is .279 and the .338/250 is .313.
Other than the .358 Norma, which pretty much a custom chambering, the modern .358 caliber rifle rounds were limited to the Whelen, which until recently was also a custom chambering, or the short fat little .350 Remington which is the Whelen's ballistic brother, if not twin. The .338 Winchester advertised a 250 gr bullet at 2700 fps. The .350 magnum strained to push a 250 gr bullet to 2500.
North American riflemen have been trapped by the faster is better mind set for decades, despite the serious disadvantages of inconsistent terminal bullet performance when impact velocities rise above 2500 fps, and the dubious advantage of flatter trajectory, when the vast majority of hunters make shots on game within 150 yards, and very rarely beyond 300. Hence the .36's popularity was limited to those few who understood it's advantages, or those who could afford a powerful custom rifle.