Binance Wallet is a private wallet with a private key. And it’s called Trust Wallet by the way.
Binance deposit address is not your wallet, it’s their (exchange’s) wallet, here you do not have a private key. Not your keys - not your money. You must to trust the exchange.
Given that, your Trust Wallet address will never match the deposit address on any exchange, include Binance itself.
You may configure your Trust Wallet to show zkSync Era mainnet: zkSync Era: Everything You Need to Know to Get Started | Trust
The STORJ token contract address on zkSync Era:
You likely can use this wallet also to connect to the Bridges on zkSync Era, but you need to choose this network instead of Ethereum in the wallet before connect (it may also allow to change it on the fly - I didn’t check). On the Bridge UI you need to select STORJ tokens, not ETH both for the balance and fee and the deposit address on Ethereum (L1) of your exchange as a destination.
However, if you opted-in for zkSync Era on your nodes and specified the L1 (Ethereum) deposit address, then your tokens likely lost. You may try to contact the exchange’s support to help you to recover them to your deposit address.
So, in short - if you provides the L1 deposit address of any exchange in your nodes, then you must not opt-in for any zkSync, if you use the address from your wallet, then you can use any zkSync (Lite and/or Era).