Why choose 5204P over 5270P or 5970P?

[FrançoisCzapek]

People upgrading to a Patek perpetual chronograph (let's assume a preference for platinum, if possible) generally talk about the 5270P or 5970P as their grail. However, the 5204P is the more technically complex reference given its split second chronograph, and there is no perpetual calendar equivalent of the 5960P with its flyback chronograph.

I'm trying to understand why people generally prefer the 5270P or 5970P. Is it because these have a more classic and more mass appealing aesthetic, where the 5204P would be more appreciated by someone particular about the complication over the overall aesthetic?

Would anyone pick the 5204P as their perpetual chronograph upgrade grail, and why?