What advantages does the spherical cloud model actually offer?

hmm, it is a transition to the modern and valid Orbital model!

Instead of having ‘Kreise’ (Bohrmodell), or shells which overlap in bonds, electron clouds are used in a ’round’ form, which are arranged according to the electron pair rejection model and then overlap.

For this they do not have to have an exact spherical shape, nor must one observe the inner shells, as some do. That’s quite unnecessary.