Blockchain.com is not a client, it is website that provides wallet features so you can call it a web wallet.
Also a light client is used to describe SPV clients, the software that you install on your computer that only needs block headers (not the whole blockchain) and performs minimal or "simplified" verification on everything it receives. The example is Electrum.
Which means web wallets are not SPV wallets (light clients). I thought all online wallets are light clients before. Which means only mobile and desktop wallets are light clients? Not the ones you have to connect through the web, like blockchain.com.
Is it true that Bitcoin and Blockchain do not have a central server ? If it is true then it is good. But if Satoshi Nakamoto secretly running the Central Server where all the Bitcoin data's are stored then how Bitcoin is decentralised ?
You can download the blockchain and run your own node, or if you use Electrum, you can connect to your own Electrum server, but if you are using SPV wallets, you are depending on central central server to connect your wallet with the blockchain. Everything about bitcoin is open source and decentralized to a very create extent, Satoshi Nakamoto is not having any central server the way you meant it in your question, bitcoin is decentralized.