No, the order of messages is fully consistent with the log. Also, my client is waiting for messages. If the bot next writes a message to the chat, it starts receiving messages from channel.
I haven’t doubt that if you are currently watching streams, you often see a situation where messages from the chat start to appear either after a while, or until you repeatedly reload the page
UPD: Just now, I specifically added a delay after sending messages on authorization. The result is the same