The difference between Homecomputer and Businessmaschines was clear for the homecomputer users. Homecomputers were cheap, colorful, had sound, modern (GUI) and you could play with them. So they were designed for ‘fun’. And they came all in one - as one consumer product. So it was ‘identity’. Clear that the Amiga was first designed as an Console. On the hardware side the homecomputers didn't use the ugly intels like almost no Arcade-Console-Maschine did. The question here why? Perhaps because the most of the Software had to be coded in Assembler? 
One of the big question was: Is the Macintosh a Homecomputer? One answer it was to expensive for beeing a homecomputer. Perhaps the homecomputers were the cheap versions of the macintoshs.