Combining easy to draw basic shapes makes sense if the wanted form really can be created such way without too many shapes. In your linked example the shields had many circular curves, so circles were perfect sources to get them. Do not expect you'll get natural looking organic forms that way.
But the effect can still be a proper artistic style. If you consistently combine easily recognizable basic shapes and create pleasing and interesting composition which actually presents something recognizable much more complex than circles or polygons, for ex people, animals, cars, plants, houses etc... you have really succeeded and done it with basic shape combinations.
Then there are artists who do not try to create anything recognizable by combining known simple forms. Some of them still can succeed to make something interesting although I guess with software it's far too easy to splash together something random, sign it and present it as an artwork.
The good ones have some idea how the shapes are selected, combined and colored, they are not random splashes although they do not present anything else than the work itself. Or they can present. Someone can really generate clear associations between the image and existing relations in the world or human mind when the rest of us see nothing.
There's a comment by user Billy Kerr. He wrote some essential technical facts.