There is aspects such as power supply, where ZX1 is supporting an android system which is drawing more current than ZX100, could actually negatively affect ZX1 sound quality, that's why ZX2 introduced a super capacitor to keep power supply stable, while ZX100 which has lower baseline current requirements means the audio circuit could sound better than ZX1, essentially reducing the need for a super capacitor in ZX100 due to reduced current requirement.
But as far as the actual audio circuit design of ZX100 imo it will be essentially same as ZX1 but with a couple components exchanged for better components.
Although a difference will arise in their digital implementation due to Sony OS vs android, so ZX100 could possibly be better in this crucial aspect which affects sound.
I do think the ZX100 will be a decent upgrade over ZX1, not just a tiny improvement.
Every little step towards hardware perfection does make a little difference, including the additional clocks if you are listening to music that utilizes the clocks frequency. In isolation it would be a tiny tiny difference, but each little thing adds up to make a great sounding device.