> there's few hundred years tradition behind it, at least in the west

Not even close to being true!

- There's not been any real convention for most of the history of western music (and no tuning fork anyway) and pitch varied hugely between regions, people and time. Different musician groups in the same church would likely be on different pitches. 415Hz is often used for baroque music but that's just a modern convention, there was no such standard in baroque times. - 432Hz was somewhat conventional at the end of the 1800s, start of 1900s - 440Hz is the "official" standard since then - Many orchestras are tuning to 442, 443, or even 445Hz nowadays

So there's not been any such thing as hundreds of years of tradition, and even now that we do have standards (and ways to measure frequency precisely), pitch inflation continues to be a thing.