And I bought myself a better power supply for "ifi zen", I don't know how it will be, better or not, but I gave a lot of money)

Hello
Roman_M! 
Well, if you have a DAC or DAC/Amp with 5V DC power supply (like Mayflower ARC, some from Topping and SMSL), clean power improves audio quality, makes things sound more pleasent, less bright and edgy on the treble (which is electrical noise due a noisy power supply).
A good ultra low noise power supply, adds something that we called: "
Black Background" this background makes you feel that you can ping point better different sound cues, gives depth to a soundstage, just like a nice OLED screen does to your games.
I have one actually, pretty happy with it; but I used for my audiophile stuff, however I use a special power supplies for audio that are cleaner and improves audio quality, called Lineal Power Supply, which use a transformer (looks like IronMan heart).
But game consoles are very noisy (electrical noise) devices. If you have your DAC connected to your console via USB (most likely PS4/PS5) USB also carries noise, and if you want to remove it you needs a USB sound regenerator and jitter remover (ifi Purifier 3 - $140 usd).
For gaming I don't recommend it going this extra step, only if you use your gaming DAC for listen Hi-Fi or Hi-Res music.
The thing is, taking these measures to clean audio signal... once you hear it clean, you don't want to go back, but if you don't try you are not going to miss it.

Just like upgrading from a mechanical hard disk to a SSD drive.