I really doubt that Parasol Stars on the PCE was able to utilize all 481 colours that it was capable of technically, simultaneously!
But admittedly, it is one of the more colorful PCE games using around 80-120 unique colours in a single scan line.
Thus the reason it looks more colorful on the PCE compared to the AMIGA.
However, that's nothing the AMIGA couldn't handle, but this is one of the rare occasions that the Rainbow Copper technique was not used in an AMIGA game, so the colours were limited only to 32!
But the AMIGA smokes the PCE version in the music and gameplay department, so it’s the better game imo.
However, this does not seem to be the case in Liquid Kids AMIGA! (Raibow Copper is used quite well).
Thus it looks more colourful than the PCE version.