Its not exaggerated! I used to work in the games industry, take it from someone who knows!
Teque, Kremlin, Tiertex, WJS Designs, and a few others wrote on Atari ST first, then ported across to Amiga. Sometimes the only difference being that they bothered to do different music using the Amiga slightly more. It's not exaggerated when its true. Look at the countless Tiertex 'conversions' that didn't EVER use the Amiga in any way whatsoever! 16colours is pure laziness because thats what the ST was capable of displaying in. Count up all the games written by these muppets, and you will find it stretches to more than just a 'few examples'.