That being said I'd like to add that in my opinion performance measurement results should not be the only guiding principle.
You said it yourself: "Another reason is that the CPUs of today are optimized [..]"
The important word is "today". CPUs evolved and still do and a calling convention should be designed for the long term.
Sadly, it means that it is beneficial to not deviate too much from what C++ does [1], because it is likely that future processor optimizations will be targeted in that direction.
Apart from that it might be worthwhile to consider general principles that are not likely to change (e.g. conserve argument registers, as you mentioned), to make the calling convention robust and future proof.
[1] It feels a bit strange, when I say that because I think Rust has become a bit too conservative in recent years, when it comes to its weirdness budget (https://steveklabnik.com/writing/the-language-strangeness-bu...). You cannot be better without being different, after all.