I have had a 300 Winchester for over 25 years and have shot 20 rounds through it, at the range. I have other 300’s but, really have had no interest in using them. Though I do think the 300 magnums are multi-purpose and longer range rounds.
Personally, I would prefer the 325 WSM on shots 300 yds and under. Those distances, I don’t think the ballistic advantages of the 300 magnum is a notable advantage.
I am not sure one or the other kills any better than the other at those distances. Perhaps, I just like the 8mm better than the .308 caliber. The .323 splits the difference between the .308 and .338.
I have Kimber Montana in 325 WSM that shoots the 200 grain TSX quite well. It is a lighter rifle presently with a 1.7-10x42 scope. I think this combination covers a lot of game animals under 300 yds.
It plays 4th string, after my 416, 375, and 338.
200 meters is about the farthest distances that I will be shooting. So, trajectory and wind drift plays little in my choice of cartridge or rifle.