The order with increased sound quality is integrated, single box components and finally two box components (separating the power supply from main components… or mono block amplifiers).
I can attest to increasing sound quality with each step. In one instance I owned a $8K Sim Moon DAC / CD player for several years and then purchased the matching add on $8K power supply. The sound character did not change… but wow… the background noice just dropped greatly, opened up the sound stage and revealed many more details. Big difference. This was worth it for me… for some I am sure it would not be.
I currently own a a Audio Research REF 160s amplifier. For fun I had my dealer drop off the Ref 160m .. exact same amp…. But in monoblocks…. two halves split. Does it sound better… yes. Night and day, no. Quieter more dynamic. Worth the extra $12K… depends on your financial condition. If mine improves, I’ll probably upgrade.
I can go on… the best sound comes from real assaults at the state of the art… isolation and separate function.