Thanks! You are looking at administrative web interface, the goal of this interface is just to show messages coming into channels in real-time just to see that Centrifugo works fine and maybe inspect messages being sent. So when you are reloading a page web interface is just start waiting for new messages from scratch. Web interface must be used as just a tool to monitor your Centrifugo installation and is absolutely optional. It allows to send API commands: publish messages, see presence and history information etc
The goal of Centrifugo is just to deliver messages instantly to all connected clients. It has channel history which can be used to show last N messages from channel but it's not related to what you see in web interface. Also note that Centrifugo is not a persistent storage and channel history messages will expire after configurable timeout. So it's possible to implement what you want using channel history but if you take into account 2 things: message history is limited to N messages and message history will expire after M seconds.
The goal of Centrifugo is just to deliver messages instantly to all connected clients. It has channel history which can be used to show last N messages from channel but it's not related to what you see in web interface. Also note that Centrifugo is not a persistent storage and channel history messages will expire after configurable timeout. So it's possible to implement what you want using channel history but if you take into account 2 things: message history is limited to N messages and message history will expire after M seconds.