Wrong connected chain display

[shuo-young]

I try this website https://eip6963.org/ and want to try its functionality of showing multi-wallet connection.
When I connect the coinbase wallet, the website shows ethereum mainnet, which is right. However, when I select the BSC network, the website displays Gatechain mainnet, but the chainid 56 logged in the console is correct for BSC.
This discrepancy also exists in other network switching, the display is not consistent with the actual network.