[kiaofz]

Technically one of the points in the first example with the different ways of describing C E G isn’t quite right. C, while enharmonically equivalent to B#, indicates a different function, and potentially a different tonal center/tonic. This change is tough though because it ~triples the number of note values you can have I think.

[bonzini]

Also because when you add diminished chords you get lots of double flats (for example C-E♭-G♭-B♭♭ vs C-E♭-F♯-A)