Okay so to get the True Decentralization Status it has to be?:
- Exchange cannot be accessible through a website address. The end user must download/install on their device to use the exchange service.
It shouldn't only be accessible over a website because if that website goes down or is taken over by malicious actors, everything falls apart. It's not a problem if one of the ways that you engage with the platform is via a browser.
- The exchange cannot be run by 1 or even a few servers. Must be 1000+ servers scattered evenly throughout the globe because only 1 or a few servers can be targeted easily.
The more peers act as servers and run a copy of the software the better and more decentralized it is. Compare it to Bitcoin and Bitcoin nodes. If you only had one central Bitcoin node that all users had to connect to and rely on, it wouldn't be a decentralized currency. That node would hold absolute power. But that's not the case, and we have thousands of nodes spread all over the place.
Does services like RoboSats, PeachBitcoin & Vexl fit the above criteria?
I don't know what Vexl is. PeachBitcoin isn't decentralized. It's a no-KYC exchange up to around €1000 a day, but it's not decentralized. People say that RoboSats is decentralized but I am not sure it is. I haven't used it, but I know it runs over the TOR browser. It's privacy focused and non-KYC, but it can't be decentralized if the only way to access it is through an onion address and traders aren't running their own copies. If you have to connect through a RoboSats point and that's the only way, it isn't decentralized.
Basically I am looking for a DEX which has deep liquidity, doesn't take long for orders to be filled which cheap fees/low premiums.
We all are, but the world isn't perfect. DEXs aren't nearly as popular as CEXs so the liquidity is incomparable. If the main features you are looking for are decentralization and anonymity, you will have to forget about some other points. In case of DEXs, those are liquidity, ease of use compared to CEXs, and the quickness in completing trades. Don't forget, the P2P nature requires the other party to find your orders and accept them. It's not an automatic and quick process and is done manually.