I hate to tell you this but you were right!

Creasing got arid of that messy look. I had become so accustomed to bringing in meshes from Hexagon which are creased by default (only now I know this), that I did not know there was any other way (Silo's way).
One extra question question for you wise men; why does Carrara show 2 normal indicators per each quad-polygon? My experience so far was that there is just one sticking out from the middle. Is Carrara a triangle sofware deep inside?
Thank you very much for your help!